{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.8/site-packages/pandas/compat/__init__.py:124: UserWarning: Could not import the lzma module. Your installed Python is incomplete. Attempting to use lzma compression will result in a RuntimeError.\n",
      "  warnings.warn(msg)\n"
     ]
    }
   ],
   "source": [
    "import os\n",
    "import json\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import math\n",
    "import random\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def convert_runtime_file_to_dict(fp):\n",
    "    mapping = {}\n",
    "    with open(fp, 'r') as f:\n",
    "        for line in f.readlines():\n",
    "            arr = line.strip().split(\"#####\")\n",
    "            k = arr[0]\n",
    "            v = json.loads(arr[1])[0]['Execution Time'] / 1000\n",
    "            mapping[k] = v\n",
    "    return mapping\n",
    "\n",
    "def sum_runtime_file(fp):\n",
    "    with open(fp, 'r') as f:\n",
    "        return sum([json.loads(line.split(\"#####\")[1].strip())[0]['Execution Time'] / 1000 for line in f.readlines()])\n",
    "    \n",
    "def get_accumulation_list(query_dict, query_id_list):\n",
    "    result = []\n",
    "    \n",
    "    for qid in query_id_list:\n",
    "        cur_acc_time = query_dict[qid] + (0 if len(result) == 0 else result[-1])\n",
    "        result.append(cur_acc_time)\n",
    "    return result"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Performance on training set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "pg_run_time_dict = convert_runtime_file_to_dict(\"pg_tpch_train.log\")\n",
    "lero_run_time_dict = convert_runtime_file_to_dict(\"lero_tpch.log\")\n",
    "\n",
    "with open(\"pg_tpch_train.log\", 'r') as f:\n",
    "    query_keys = [line.strip().split(\"#####\")[0] for line in f.readlines()]\n",
    "    \n",
    "pg_run_time_train = get_accumulation_list(pg_run_time_dict, query_keys)\n",
    "lero_run_time_train = get_accumulation_list(lero_run_time_dict, query_keys)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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nPgYucM7l9w/nXJ5z7i3gNCDXd7oV8IfiYouIiIiIlMbh3LyK7kJIlGABzrnXnXPLnHMuwqEvBjr4HY93zu0qog8ZwHi/UyeZ2UnFxP4dkOJ3fK1z7mARsVdROKm61MzaFRP7zxyZcngYuK6o741z7idggt+pm82sTjGxRURERERCkpV9mI/nb+bGN+Yw4B9fVnR3QqIiF9F1gd/zzcD7JVz/HrAFaO7XfkoIsac752aUEPt54G9AIl5ifR7eNMBCfGuvxvqdet9/5KoITwLX+54n4Y1qTSyhjYiIiIjIUbZnZvPlkm1MXrSNn1elc6iKjFzlU4IVJWZWGxjpd+pz51xOcW2cczlm9jmQX+TibOD3QWJ3AHr6nfq4pP445zLM7GdghF/soxIs4ESgQZixF5vZGqC9X2wlWCIiIiJSIuccK7fvZfLibXy5eBtzN+yu6C6ViRKs6OkB+O8P9WOI7X7kSILVxswa+qYP+usfpE2osfMTrH5FXFOW2PkJVmCMcpWbm0tmZiZ79uzh0KFD5ObmltxIylVKSgpLliwp+UKpEfR+iL7Y2Fji4+NJSUmhXr16xMYG7uohIlK+cnLzmLVuF18u3saXS7axLn1/RXcpYpRgRU+PgOMVQa86WuB1PYAfohC7npm1cs5tLCb2YWBtKWJ3MbNY51y5ZzaZmZls2bKFunXr0qhRI2rXrk1sbCxmUavCL6WQlZVFcrIKTopH74focs6Rm5vLgQMH2LNnD9u3b6d58+bUq1evorsmIjXQ9sxsnk5bxYdzN7Fr/+GK7k5UKMGKnnYBx+tDbLcuSJzABMs/di5HyrCXJnZgguUfe5NzLtRJr/6xE/DWkQXGjqr9+/ezdetW2rZtS2JiYnneWkSk0jIz4uLiSE5OJjk5mezsbNavX09cXBx16qgmkYiUD+ccH87dzJ0fLiQzu9hVM1WeEqzoCfxocHeI7fYEHAf7WNc/dlYYI0Xhxt4dYtxQYwNgZtfg28A4NTWVtLS0MG5TtHr16tGqVSsOHz7M4cPV8xOR6iI3N5esrKyK7oZUEno/lL/69euzdOlSMjPLtBtJVOzduzdi/y9I9aD3RNWXdcjxyqKDzNxWM5ZtKMGKnqSA4wMhtgu8Llii4h871LiVITYAzrkJ+Eq7Dxw40A0fPjyM2wSXlZVFRkYGTZs2LXMsiT5NCRN/ej+Uv+TkZA4cOECXLl1ISgr876pipaWlEYn/F6T60Huiavtm6Tb+PnEBO7JqRnIF2gcrmmoFHIc6Fhp4XWCcwHPhjLFWdOyo2bdvX6X7JUFEpDJLSkpi7969JV8oIlIKew/m8OeJ8/n1yzPZkRV0q9aQxcUYQzs15m9n9yz54kpAI1jRsy/gOBEIpTxK4OKhwDiB58JZbFTRsaNm3759tGzZsjxvKSJSpdWtW5dNm0ra5lBEJHwLN+3h+v/NYkNGOJOhCqsbH8vwrk0Z3TOV4V2bklLb++z+igj1MZqUYEVP4MeCdQgtwQpccRxsYYJ/7HBWKFd07KjJycmhVq1yHTQTEanSatWqRU5O9V5oLiLl7+sl2/jd63M4cDj8KYGp9RIY2T2VUT1SOa5jIxLiquaWEkqwomdHwHFzYGcI7ZoHHAdr4x+7rpklO+dCSWjCjR14fVljR01eXh4xMZrxKiISqpiYGPLyQi0UKyJSstd+XstdkxaR50Jv0yIlkXEDWjGqRyq9W6YQE1P1t9ZRghU9SwOO2wILQmjXtoQ4RcVeGGbsPGB5EbHH+p43DCN584+91TkXWFUw6rTXlYhI6PQzU0QiJS/P8c/PlvDc92vCanfx4Nb85YweJCVUr5Sken01lcuigOMBwMchtBvg9/wQsDLE2KEkWP6x1zrngk2MDYzdH5gSZuzFIVwvIiIiIlVc9uFcbn5rLp8t3Bpym8ZJCTxwXm9O6Z4axZ5VHM2pihLn3AZgtd+pYSE29b/uhyL2uJpJ4SISocY+ye95WhHXfFdMf4Iys0RgSAixRURERKSa2Ln3IBc/NzWs5Oq0Xs2YfPNJ1Ta5AiVY0fa+3/PhZtamuIt9r/snNBODXecbefrc79R5ZlZsQQozGwp0CCH2emCW36nLreR5JOcDtUuKLSIiIiLVw4aM/Yx7+ifmrN8d0vXJCXE8elE/nr50AA3rxke3cxVMCVZ0vYS31gm87/UdJVx/J0f+TrKAt4u59gW/5ynAzUVd6EuQ7vI7tR74KsTYnYFLiomdANzmd2qqc05TBEVERESqqe2Z2Vz2wjTWZ4RSIBta1q/NxBuO55z+LWvE+k8lWFHknFsE/Nfv1G/M7DfBrjWza4Gr/E495JwrshKfc+4zCq+NutPMTi/i8nuAkf7XOucOFdP15ym89usJMxsUpM9xwASgh9/pPxcTV0RERESqsN37D3H5C9NZlx5actW7ZQrv//Z4uqQmR7lnlYeKXABm9lfgr0Fe8h+/PMnMsoNc85pz7upiwv8BOBFo7zt+zszOAt4ENgMtgYuBM/3azAD+HULXrwF+Ahr6+jrJzN4APgDSffe80nf/fJOA14oL6pw7bGZX4o1yJQANgClm9gLwJd7oWlfgWqCvX9MnnXOBa7hEREREpBrYdzCHK16awbJtoW13OrJ7Ux6/uD914mtWylGzvtqixeElEsWxIq4pdndb59x238jSF0D+GqyzfY9g5gNnOudK/FjAObfMzMYCH+IlWbHAZb5HMN8AFzvnStz4xDn3g5ldCryKt4lwIvBb3yOY14GbSoorIiIiIlVP9uFcrnltJnM37A7p+l8d15Y7z+pJbDXY1ypcmiJYDpxzS4HewDPA3iIuS8ebyjfIObc9jNg/AL2AN4CDRVy2EW+N1qhQEje/2BOBfsCnQFHbca8ALnfOXRpK4iYSrrvvvhszK/IRExNDSkoKHTp04JxzzuGhhx5i+/aQ/wlJNTBt2jRuueUWTjzxRFq0aEGdOnWIj4+nQYMGdOvWjdNOO40//elPvP3222zbtq1U99ixYwevvPIKv/jFL+jduzepqanEx8fTtGlTevfuzUUXXcTLL79cqvdeu3btCt7PV1xxRan6JyISTTm5edz4xhx+XJle4rVm8NczunP32TUzuQKNYAHgnLsbuDvK98gEbjCzW4DheBvzNgB2AquAKc65nFLG3gJcYmYpvtitgGRgG7AM+Nk5F8ae2oVirwDOMLOmeGXeW+KNZm0BFjrnZpcmrkikOOfIzMwkMzOTNWvW8OGHH3L77bfz5z//mTvuuIO4uKr1Y+7ll1/myiuvBKBt27asXbu2YjtUiS1evJhrrrmGH3/8Mejru3fvZvfu3SxbtozPP/cKr5oZF110EW+88UZI99izZw/3338/jz32GAcOHL114I4dO9ixYwcLFy7k7bffJjExkRtvvJHbbruN+vXrl/prExGpLHJy8/jTxAVMXlzyB1Rm8OhF/Rjbr2U59Kzyqlq/eVQDvhLrn0Up9h686YLRiL0deDcasUXCMWbMmELHeXl5ZGRksHDhQg4e9AZxDx06xN///neWLFnCW2+9VSMqFtU03333Haeffjr79xcelE9NTaVDhw7UqVOHzMxMNm3axObNmwted86xZs2akO6xYMECTj/9dDZu3FjofHJyMu3ataNx48akp6ezdu1aMjMzAcjOzuZf//oXr7/+Op9++im9e/cu41cqIlK+nHOsTd/P9yt28P2KnUxdlU7WwdDGAO47t3eNT65ACZaIVDH5IxGBDhw4wLPPPsvtt99OdrZXj+add95h2LBh/Pa3RS0dlKpo27ZtnHPOOQXJlZlx3XXXcdNNN9G1a9eg13/11Ve8//77fPTRRyHd48cff+T0008vSJwAhg4dyl/+8hdOOeUUatU6svw2JyeHb775hvvuu4/vvvPq/GzcuJGhQ4fy6aefcsIJJ5TlyxURibqNu/YzfU0G01Zn8MPKnWzaffSIfUluO60bFw8udsvXGkMJlohUC7Vr1+bmm2+mR48enHbaaeTPir3nnnu4/vrriYnRktPq4r777mP37t0Fxy+++GKxa5dSU1O59NJLufTSS9m+fTtpaWnFxt++fTsXXHBBoeTqgQce4A9/+EPQ0dC4uDhGjx7N6NGjefjhh7nlllsAyMzM5MILL2Tu3Lk0adIkrK9RRCRanHOs2rGP6WsymL4mnRlrd5UqofJ3w/COXDusY4R6WPUpwRKRamXMmDGcddZZTJo0CYCtW7cya9YsBg06ais3qaImTpxY8Py4444LqzBE06ZNufDCC4u95qqrrmLLli0Fx/fddx9//OMfQ4o/fvx4cnNzC67fvHkzV111VcH7UUSkIn25eBv//HQJq3fui1jMy45twx/GHD17oCbTR7oiUu2cddZZhY7nzZsX9Lr58+fz5z//mYEDBxaqCnfMMcfwxz/+kTlz5oR1323btvHvf/+b0aNH06pVK+rUqUOtWrWoV68enTt3ZsyYMfzlL3/hu+++Iy+vcNHN4cOHY2YFBS4A1q1bV2T1xLvvvrvIfhw4cIAnn3ySESNG0Lx5cxITE2nTpg2nnHIKzz//fMHUurS0tEIxi+JfyXH48OEF5+fOncutt95Kv379aNq0KTExMcXG2bVrF08++SRnnnkmHTp0ICkpibp169K7d2/OP/98Xn31VXJyip/nv3fvXjZt2lRwHOnpd7NmzeLjjz8uFP/Pfw5v//Rbb72VoUOHFhx/9NFHzJ6tekAiUrFe+WktV786M6LJ1dh+Lfj72b201jmARrBEpNpp3bp1oeOdO3cWOt63bx+/+93vePXVV49KdPKrws2ePZsHH3yQyy67jKeffpqkpKRi7/n8889z8803s3fv0TsxZGVlkZWVxcqVK5k8eTL33XcfTz31FDfccEMpv8KiTZs2jUsuuYTVq1cXOr9hwwY2bNjAN998w0MPPcQ777xT6nvk5OTwl7/8hQcffPCo719RHnnkEf7+978XmtqXb926daxbt46JEydyzz338NprrzFkyJCgcfyn7QGUskBqkR588MFCx/fff3/YvziYGffff3+hJOvBBx/k9ddfj0gfRUTC9fz3q7nnkyURjTmye1MevKAvMTW0FHtxlGBJjdLuz59UdBeqtLX3n1HRXQjJ4cOHCx3Hx8cXPN+9ezdjxoxh+vTpha7p3r07qamp7Nixg8WLF+OcwznHa6+9xpIlS5g8eTINGjQIer/XXnuNq6++utC51NRUOnbsSJ06ddi3bx9btmxh3bp1BQlBYGIyePBgEhMT2bRpEwsXLgQgMTGRYcOGBb1np06djjo3ffp0Ro0aRVZWVsG5xMREevXqRVJSEmvXrmXt2rUsXbqUk08+mUceeSRo7JKMHz+eJ554AoCEhAR69uxJvXr12LJlC8uWLSt0bU5ODldddRWvvvpqofNt27alTRtvMfTy5csL9qdasWIFI0aMYNKkSYwcOfKoezds2BAzK/g+fvXVVzjnIvLpaU5OTqHRq27duhVKksJxwgkn0L17d5Ys8X6h+fjjj8nNzSU2NrbM/RQRCcd/vlvFPz9bGtGYZ/dtwb/O70OtWE2GC0YJlohUO/m/1OZLTU0teH7dddcVSq7OPvtsHn30Udq3b19wbv369YwfP75grc/MmTO55pprgo765OTkFBQ1AC9RevLJJ4Ou+dqzZw9ffPEFr7766lFFN/71r38BhffBSk1NLbJqYqD9+/dz8cUXFyRXcXFx3HXXXfzf//1fodG3WbNmcd111zFz5kxuvvnmkGL7mz17Nt999x21a9fm3nvv5ZprrqFu3boFr69cubLQ9X/9618LJVdXXnklt99+e6EEMSsri5kzZ/Lb3/6WJUuWcODAAS655BLmzZtH8+bNC8VLTEykf//+BVPu5s2bx4033siDDz5IQkJC2F9P4NfmPwJ56qmnline6NGjC96LWVlZzJkzh4EDB5YppohIOJ76diX//mJZyReWwAx6t0xhaKfGnNqrGX1a1S9756oxpZ0iUq04546ainXccccBMHnyZN56662C85dccgkffPBBoeQKoE2bNrzzzjv88pe/LDj37rvv8sknR4+ATp06lR07dgCQlJTE559/XmRBjZSUFC688EI+/vhjrr322tJ9gUV46KGHCk0LfOmll/jrX/961NTGY445hm+//ZYBAwYU9DscWVlZxMTE8NFHH3HzzTcXSq6g8Mja1KlTCxJHgAkTJvDiiy8GHX0bMWIEP//8M927dwe8qZr33HNP0D4Efu+efPJJ2rRpw0033cQnn3xy1JTQUM2YMaPQcVmTocD3QWB8EZFoeuyrFWVKrlrWr80vBrXmyUv6M/uvo5j0u6H88dRuSq5CoARLRKqVu+66i7lz5xYcH3PMMXTo0AGAxx57rOB8amoqzzzzTJFTy8yMp556ihYtWhSce/TRR4+6bsOGDQXPe/bsWeQ0wkCRnCqWm5vLhAkTCo7POOMMLrvssiKvT0pK4vnnny/1/a655hpOOeWUEq+7//77C6byXX755UdNowyUkpLCf/7zn4Ljl19+udB0x3y/+c1vjipksn37dh5//HHOPPNMmjRpQtu2bRk3bhwPP/xwyMVKtm/fXui4Xbt2IbUrStu2bYuNLyISDc45Hp68jEe+Wh5Wu9YNazNuQEseOK833946nB/+NIL7z+vDmX1a0KBufMkBpIASLBGp0pxzpKen8/nnn3PGGWfwj3/8o+C1mJgYHnjgAcCbQjd58uSC166++mrq1atXbOykpKRCoyXffPPNUUUWateuXfB8+fLl7NsXuepMoZo3bx4bN24sOL7++utLbNO/f/9SV+ALZfQtIyOj0Ka+t956a0ixTzzxxIIRxf379/Pzzz8fdU1MTAwTJ07kj3/8Y6H1df7Wr1/P+++/zy233MKAAQPo3r07EyZMIDc3t9g++6tfv35IfS5KYPvA+CIikeSc46dVO7nkuWk8/s3KkhsA3Zol89gv+vHzbSfz/R9P5uEL+3HRoDa0b1xXlQHLQAmWiFQpgeXKY2JiaNy4MaeddhqffvppwXUxMTE8/vjjBSMtM2bMKFQCPHAEpChjx44teJ6Xl8e0adMKvT5w4MCC/4R27drF2LFjWbo0souJS+Lfp5iYGEaMGBFSu5NPPjnse9WrV4++ffuWeN33339fUMijadOm9OnTJ+R7+MefOXNm0Gtq1arFAw88wIoVK7j99tvp2LH4DS6XLl3Ktddey5AhQ1i/fn3Qaw4ePFjouKxrugLb55fHFxGJJOcc3y7bzvnP/swlz03j59XpIbXr1bIeb15zLGP7taR5Su2SG0jIVORCRKqdwYMH89BDDxWqAOdffMHMQv6Fv0ePHsTFxRUkZytXrmTUqFEFr7dq1YqLL764YN3X119/Tffu3enXrx+jRo3i+OOP57jjjitUaCPS1q1bV/C8TZs21KlTJ6R2PXr0CPte7du3D+lTzfnz5xc8z87OLrZgRE5ODnFxR/47WrBgQcHzktaJtWnThnvvvZd7772X9evX89NPPzF79mzmzJnD1KlTjyqbP2vWLE455RSmT59+1HTOwBGnPXv2FHvvkgS2T05OLlM8ERF/+w7mMGX5Dp5OW8WCTeH9vOrbKoVXfz2ElDq1otS7mk0JlohUKWPGjCl0HBMTQ3JyMg0bNqRPnz6cdNJJ9OzZ86h2u3btKnielJREYmJiSPerVasWKSkppKenHxUn37PPPkt6ejpffPFFwbm5c+cWWgvWs2dPzj//fH7zm9/QqlWrkO4dKv+9pcKZ1hbqejF/JU2rzJf//QJv7yr/7004wkly2rRpQ5s2bfjFL34BeInbV199xUMPPcRXX31VcN3KlSu54447ePLJJwu1b9iwYaFj/6+hNALbN27cuEzxRKRm25aZzYy1Gcxcu4uZ6zJYsiWL3Lzw9wLs36Y+r/x6MPUSlVxFixIsqVGqyj5OUrRQy5YH8p/+VdS6naL4T/XKzs4+6vXk5GQ+//xz3n//fZ5++mnS0tIKTUcEWLRoEYsWLeL+++/ntttu44477jiqVHtVEGqfI7UWLdSNjIOJi4vj1FNP5dRTT+Whhx4qtA7shRde4MEHHyyUaAdWN5w3bx6jR48u9f3nzZtX6Lg0I4YiUrNt2n2AF39Yw+TFW9mQcaDM8Qa2bcBLVw4iWclVVCnBEpEawX9kJ1hluuL4F7YoboTo3HPP5dxzzyUrK4sffviBH3/8ke+++46pU6cWJFwHDx7k7rvvZv/+/QUFOMrKv0/+o1klCTYaFyn+ferTp89RyYa/rKysqE+fu+WWW/joo4/47rvvAC9RnjlzZqFppCeeeGKhNsEKbIQjcL3eMcccU6Z4IlJzbN2TzdNpK3lz+gYO5Zb+gyZ/g9s35KUrBlE3Qb/+R1vV+/hURKQUmjZtWvD80KFDharuFWf79u2F1vH4xylKcnIyp512Gvfccw/ff/8927dv57HHHis0Je/hhx8usthCuPzLga9fvz7kYgqLFy+OyP2DadasWcHzbdu2Re0+4TjjjMIj2Js3by50nJqaWrAPF8Bnn31W6iR0165dhYqu9O/fn9atW5cqlojUHNuzsvn7R4s56d/f8urP6yKWXJ1/TCtevlLJVXlRgiUiNULg6MFPP/0UUrvA60qz+WyDBg248cYbefvttwvO5eTk8PXXXx91rf8UvPw9pEoyZMiQgud5eXl8++23IbX75ptvQrquNI4//viC59u2bWPNmjVRu1eoAteP+RfWyOdfgj47O5tnn322VPeaMGFCoemkv/rVr0oVR0Rqhox9h/jnp0s46V/f8uKPaziUE5nEamT3prx/w/E8eEFf6sQruSovSrBEpEbo0KFDoeISr732WkjtXnnllYLnqampdO3atdR9GDlyJCkpKQXHW7duPeqaunXrFjw/cCC0+fZ9+/Yt9LU988wzJbaZM2cOP/74Y0jxS2PQoEE0atSo4LgsGxtHSmD5fP9NpPNdddVVhUYa77nnHlatWhXWfdauXVtoP7amTZuWuMmyiNRc3y7dzikPpfGfKavJPlz2xMoMTu/djE9uHMrzvxpE/zbhFzSSslGCJSI1hv8vuR9//HGJIz1Tpkzhgw8+KNQ+sER5qKNM4K2/Onz4cMFxYNU6gObNmxc837FjR0hV9GJjY7nmmmsKjj/55BP++9//Fnn9vn37ov4Lf1xcHDfffHPB8aOPPsqcOXPKHDcvL4///e9/xW4YHMyOHTsKfU/q168fdE1UUlISjz76aMHx/v37Oeuss0Ke5rhjxw7OPPPMQkU+nnjiiZBL54tIzfL6tPVc9coMdu0/XPLFJYgxOLd/Syb/30k8fekx9GyRUnIjiQolWCJSY9xwww00adKk4PiCCy5g1qxZQa+dM2cO559/fsFxo0aN+P3vf3/UdQ888ADXXHNNob2binLnnXcWWh8VbEPgPn36UKvWkepODz/8cIlxAcaPH0+HDh0Kjq+88kruvffeo/aBmj17NiNGjGDWrFmFvhfRcOONN9K5c2fAS1RGjRrFJ598UmK73bt388wzzwSt4JeXl8dll11G9+7deeKJJ0rcJwtgxYoVjB49mp07dxacu+qqqwp9n/398pe/LDSlb8mSJRx//PGFSr0H8+2333L88cezaNGignPXX389F154YYl9FJGaxTnHw5OXcfv7CyhFpfUCyQlxnNSlCX8Y05W0W0fwyEX96JyqPfcqmiZjikiN0bhxY1544QXGjh2Lc4709HSOPfZYLr/8ck4//XSaNm3Kjh07+Pzzz3nllVcKRpvMjOeeey5ogYvs7Gyee+45nnvuObp3787IkSPp378/LVq0ICkpib1797J48WLefPNNpk+fXtDuF7/4BV26dDkqXlJSEmPHjuXdd98F4O9//zsvvvgiPXr0oHbt2oXa5+/3BN7UwjfeeIORI0eSlZVFTk4Of/3rX7nnnnvo3bs3devWZd26dQVroZo0acIjjzzCZZddBoRfuj4UycnJfPjhh5xwwgns2rWL9PR0zjzzTAYNGsTYsWPp06cPDRo0ICMjgwMHDrBo0SKmTp1KWloahw8fLlS8I9CKFSu48cYbGT9+PEOHDuXYY4+ld+/eNG7cmLp165KVlcWKFSv45ptv+OSTTwqNHHbv3p2777672L4/99xz5OXlFUwlXb16NaNGjeLYY4/lnHPOoWvXrjRq1IiMjAyWL1/OBx98cNR6vauvvpqnnnoqrO/Za6+9xptvvhlWmwcffJDf/e53YbURkYpzODeP299bwDuzQiu25C+1XgJD2jdiULsGHNO2IV2bJRMbU/Lm71K+lGCJSI1y1lln8cYbb/DLX/6SQ4cOkZOTw0svvcRLL70U9PpatWrx8ssvc+6555YYe8mSJSxZsqTE60455RQmTJhQ5OuPPPIIM2fOZO3atQBs3LjxqKqH/fr1O6rd4MGDmTx5MpdccklBIpWdnc2MGTMKXde1a1fefffdQjH914ZFUvfu3Zk+fTrnnHNOwcjOjBkzjupTqMyMmJiYgv2xcnJySEtLIy0tLaT2w4YN45133iEpKanY62rVqsWrr75Kz549ueeeewpGAqdOncrUqVOLbdugQQMefvhhrrjiipD65C8vL6/Qnm2hCNxzTUQqr30Hc7jhf7P5bnnJo+/+2jaqw02ndGZsv5ZKqKoATREUkRrnoosuYv78+YwbN67IaWJxcXGMHTuWefPmcckllxQZ64ILLuCmm24KqfhFt27dePbZZ5k8eXKx+z61atWKefPm8dBDD3HKKafQvHnzQhviFufYY49l0aJFPP744wwbNoymTZsSHx9Pq1atOPnkk5kwYQKzZ8+mV69ehdYVRXO6YKdOnZg9ezbPPvss3bp1K/ZaM6Nfv37ceeedQafkxcbGsnnzZiZMmMC5554bUr9jY2MZNWoUb7/9NmlpaWF9rX/6059YtWoV48ePL3ZELd+xxx7LmjVrSpVciUj1dTAnl1nrMvjFhKlhJVetGtTmX+f14evxwxg3oJWSqyrCwlmgLRJpAwcOdDNnzixznCVLlhTav0Yqt/LYWDZUmZmZfPfdd2zYsIHdu3eTkpJC69atGTZsWNijOunp6cyfP5/Vq1eTnp7OoUOHqFu3Li1atKB///5BpwRWpBtuuKGg4uCll15abGGMSNqwYQNTp05l+/btBRsjN2vWjE6dOtG7d++gxT+Ks2bNGpYvX87atWvZs2dPwfe9fv36dOnShT59+kTs/bZ48WIWLVrEjh07SE9PJzc3lxdeeKFgNNDMeOGFF7jyyisjcr9oq4w/O9PS0hg+fHhFd0Mqkar4ntiy5wCz1u1izvrdzF6/i0WbMsPa06ppcgI3jezMBce0Jj5O4yH+zGyWcy78PVPKkaYIikiNVq9ePc4666yIxGrUqBEjRowIWryistm7d2+htT5Dhw4tt3u3bt260Ka7ZU2427dvT/v27SPRtRL16NGDHj16FDp36aWXMmzYMLZs2YJzjquvvprk5ORCRVJEpPrKzXMs25rFzHUZzFy7i5lrM9i8J7vkhkXo1iyZV349mNR6oc1ckMpHCZaISDXhnDuqjHwwubm5XHPNNezatQuAOnXqFCqYIeHp3LkzX3/9NcOGDWPHjh3k5uZy6aWXkpyczJgxYyq6eyISBat37OWzhVuZtiaDOet2kXUwMmshT+jUiGcvO4bkxODT16Vq0JijiEg1MXv2bE488URefvlltm/fftTreXl5TJkyhZNPPpk33nij4Pwtt9xC/fr1y7Gn1U/37t356quvCqY3Hjp0iHHjxvHDDz9UcM9EJFK27snm+e9Xc9YTP3DyQ9/x7y+WMWX5joglV+f0a8FLVwxWclUNaARLRKSacM7xww8/FPxSnz8Vr06dOmRmZrJs2bKjNi4eMWIEd955Z0V0t9rp06cPX331FR9++GHBuRkzZnD88ccTE6PPM0Wqoh1ZB/ly8TYmzdvEtDUZRKt0wXXDOvLHMV2JURGLakEJlohINRH4S/yGDRvYsGFD0GtjY2O55pprePTRR4mL038FkdK/f3/69+9f0d0QkVJwzrFm5z5mrt3FjLUZzFy3izU790X1nmbwt7N78svj2kX1PlK+9L+qiEg1MWDAABYtWsQnn3zCzz//zNKlS9m8eTP79u2jVq1aNGzYkM6dOzNs2DAuv/xyOnbsWNFdFhGpUHl5ji+XbOODOZuYviaD9H2Hyu3ejerG88B5fRjZI7Xc7inlQwmWiEg1EqzKnYiIFOac46sl23lo8jKWbs0ql3sm1oqhT6v6DGjTgIFtGzC0c2MSa8WWy72lfCnBEhEREZEawTnHlBU7eXjyMuZt3FNygzJo3bA2x7RpwIC2DejfugHdmidTK1brMWsCJVgiIiIiUu1NXZ3OQ5OXMWPtrojHjo0xejSvx8B2DRjYtiED2zXQPlY1mBIsEREREam2Zq3bxcNfLuPHlekRjVs3PpYxvZpxVp8WDG7fkLoJ+rVaPHoniIiIiEi1s2DjHh7+chnfLtsRsZjxsTGM6NaEsf1acnK3plpDJUEpwRIRERGRamPp1kwe+XI5XyzaFpF4TZMTGNiuAcO7NmVMz2ak1NZGwFI8JVgiIiIiUmXtP5TD3A27mb1uF9PWZPDDyp1l2hC4S2oSx7RtyKB2DRjUriGtGtTGTBsAS+iUYImIiIhIlbFn/2GmrNjBzLUZzFq/iyVbssjNK0NGhbfh77n9WnLjKZ1p17huhHoqNZUSLBERERGp1Dbu2s+Xi7fx5eJtTFuTUeaEyt8ZvZvzfyM70zk1OWIxpWZTgiUiIiIilc7ybVl8PH8L708/wIbPv414/JHdm3LzqC70bJES8dhSsynBEhEREZFKI/twLn95fyETZ2+MSvwTOzdm/Kgu9G/TICrxRZRgiYiIiEilcDg3j9+9PpuvlmyPeOzB7Rty6+iuDG7fMOKxRfwpwRIRERGRCpeb5xj/9ryIJ1f929TnllFdOaFTI1UDlHKhBEtEREREKpRzjr+8v4CP5m2OSDwzGNK+Idee1JHhXZsosZJypQRLRERERCqMc45/fLyEN2dsKHWM5IQ4+rWpzzFtG3BM2wb0bV2feonaEFgqhhIsEREREakwj3y1ghd/XBNWm/jYGI7v1IhTujVlUPuGdG6aTGyMRqmkclCCJSIiIiIVYsKUVTz+9YqQrq2XGMcp3VMZ1SOVk7o0ISlBv8ZK5aR3Zjkys0RgHHAmMABoBiQBe4GtwBzgE2Cic+5AmLHbAJcDZwFtgEbAdmA18B7wunNuRyn73Q34JTAGaA3U8/V3GfAO8JZzLqs0sUVERKTmyctzPPf9av752dKQrj//mFb8c1xvasXGRLlnImWnBKucmNkZwLNAqyAvp/geXYFfAA+Y2fXOuUkhxv498ABQO+ClVr7HScCdvphvh9HnOOAu4DYgNuDltr7HaOAOM7vCORf5XQBFRESkWtm0+wB/eGceP61KD+n6gamx3D+uN3FKrqSK0Du1HJjZZcAkCidXB4CZwNfALCDb77UWwAdmdmUIsf8BPE7h5GoF8B2wyu9cQ+CtUGL6eQH4K0eSKwcsBqYA/itR2wCTzWx0GLFFQnL33XdjZgUPERGpmpxzvDtrI6c+MiXk5Gp41yZc1zdByZVUKXq3Rplv6t5/OPK9PgDcBDRyzg1yzo10zg3Em9I3niOJlgFPmVmHYmKPw0uA8i0GjnHOdXHODXfOdQIGAUv8rplgZoND6Pd4vGmB+aYAXZ1zPZ1zw5xzbfBGr/LrqcYB75hZ25Jii4iISM2yc+9BrnltFre+M4+sgzkhtRnSviHPXnYMcSpeIVWMEqzouxao43d8uXPu8cA1Vs65/c65R4Bf+Z2u7Wt/FDOLB/7td2ojMNQ5Nzsg7kxgKLDJdyouoF2w2I2AO/1OzQFGO+cKrUJ1zn2JN/1wr+9UPeAfxcUWERGRmuXzhVsZ88gUvly8LeQ2fVvX54UrBpFYK3CFgkjlpwQr+ob5PV/snJtY3MW+NVL+I05Di7j0YsB/dGu8c25XETEz8EbH8p1kZicV043f4a0Jy3etc+5gEbFXUTiputTM2hUTW0RERGqAPQcOM/6tuVz331mk7zsUcrtuzZJ55cpBqhIoVZYSrOhr6vd8foht/K9rXMQ1F/g93wy8X0LM94AtRbQvLvZ059yMEmI/z5GpjTHAeSVcLyIiItXYlOU7GPPIFN6bs6nki/30almP164aQv068VHqmUj0KcGKPv/y5YkhtvG/7qhRKTOrDYz0O/W5c67YCc2+1z/3O3V2sOt8a756+p36uKTO+kbIfi4ptoiIiFRv+w7m8Jf3F/DLF6ezNTO75AY+ZnDdsI5MvP54miQnRLGHItGnBCv6pvo9P963dqpIZpYAHO93akqQy3oA/j99fgyxL/7XtTGzhkGu6V9Mm1Bj9wuxjUiF2bVrF08++SRnnnkmHTp0ICkpibp169K+fXvOP/98Xn31VXJySl6InZaWFrTK4ebNm/nXv/7FCSecQKtWrahVqxZmRlpaWtA4q1ev5m9/+xsnnHACLVq0ICEhgcaNG9O7d29+97vfMWVKsB8FIiKVx/Q1GZz22Pf8b9r6sNq1bVSHd649jj+f1o2EOK25kqpPk1uj7xngGrzvdVPgXuAPxVz/T6CJ7/le4Mkg1/QIOA5tC/Sjr+sB/BCF2PXMrJVzbmOIbUXK1SOPPMLf//53du/efdRra9euZe3atUycOJF77rmH1157jSFDhoQV//XXX+f6668nMzOzxGtzcnK4/fbbeeyxxzh0qPAahfT0dNLT01m4cCFPPfUUp59+Oi+++CKpqalh9UdEJJqyD+fy0ORlPP/DGpwLr+2lQ9pw++ndqav1VlKN6N0cZc65hb6NgJ/E20/qVjPrgbd31QxgD15BiSF45dvH+JpmARc654J9DNQu4DjUj4rWBYkTmGD5x87lSBn20sSufAnW3SklXyNFu3tPRfegTHJycrjqqqt49dVXC51v27Ytbdq0AWDFihVs3bq14PmIESOYNGkSI0eOPCpeMO+99x6XXnopAGZG9+7dSU1NJSMjg6VLlxa69tChQ4wbN45PPvmk0PmOHTvSunVrdu/ezcKFCwtG0j799FOOP/54vv76a9q1axf21y8iEmkLNu5h/NtzWbF9b8kX+0mtl8AD5/VheNemJV8sUsUowSoHzrlnzWwt8CjQFTjd9wgmF/gUuM05t6iIa+oFHO8OsSuBvx0nlxA7yzmXG8HYAJjZNXijeqSmphY5ZSocKSkpZGVllXhdkZ2SkITyPQ5Fbm5uyLEOHixcwLIsfbjrrrsKJVeXXXYZt9xyCx07dix03ZQpU7jllltYtmwZBw4c4OKLL+ann36iWbNmR8Xcv39/oeMrrrii4M/bb7+9UJuMjIxCX8Odd95ZKLk69thjefjhh+nVq1fBuZ07d3LvvffywgsvAN5UwgsvvJAvvviCuLjq8SM8nPeDRFZ2dnZEfgZH0t69eytdn+RoOXmOj1cf5qNVh8kNc9Tq2OaxXNY9FrYsJm3L4hKv13tCqprq8b9zFeCc+9zMRgOPAecUc+lXwBPFJFcASQHHB4JedbTA64LlG/6xQ40bamwAnHMTgAkAAwcOdMOHDw/jNsEtWbKE5GSlT9EWqe9xVlZWyLESEgovdi5tH6ZOncqjjz5acDxhwgSuvvrqoNeeccYZDB06lOOOO44lS5awc+dOHn30UZ566qmjrq1Tp06h46ysLO666y7uvvvuo6717/vSpUt5/PHHC46HDx/O559/HvTrff7552nRogX/+Ie3I8KMGTN4/fXX+e1vf1vi110VhPN+kMhKTEykf//ApbcVKy0tjUj8vyDRs2JbFuPfnseCTftLvthPgzq1uPfc3pzeu3lY7fSekKpGRS7KgZklmdkzwCqOJFeH8Dbw/RpvqmD+T6kxwGQz+87MWhcRslbAcWhboh99XWCcwHOhxg01tkiFuf/++3G+xQGXX355kclVvpSUFP7zn/8UHL/88sshjbL07NmTO+64o8TrnnjiCfLy8gCoXbs2L7/88lHJlb+7776bfv36FRw//vjjBV+PiEh5yMtzPP/9as544gcWbApvyvjI7qlMvnlY2MmVSFWkBCvKzCwZ+Aa4Dm/EcD9wM9DQOTfAOTfSOTcYqA/8Ctjpa3oS8L2ZHT0nCfYFHJem/HuwOIHnQo0bamyRCpGRkcFHH31UcHzrrbeG1O7EE0+kffv2gDcV8Oeffy6hBfzmN78hNrbkKljvv39k67rzzjuPtm3bFnt9TEwMN998c8Hx8uXLWbSouIFuEZHIycnN4+a353LPJ0s4lJMXcrvkhDgeuqAvz/3yGJVflxpDCVb0PQQM8j0/BIx2zj3qnCuUgDjnDjvnXgVO4MjeV22Bp4PEDFxJWifINcEEXhfs43j/2KHGDTW2SIX4/vvvC0aLmjZtSp8+fUJu27dv34LnM2fOLPH6k046qcRr1q1bx5YtR/b9Puuss0Lqy9lnF95iLpSET0SkrHJy8/i/t+by4dxQ6155hnZqzBc3n8R5x7QqtI2FSHWnNVhRZGYtgCv9Tj3nnCt2Xynn3HIz+yfwL9+pc8ysg3Nutd9lOwKaNefIyFdxAsflg7Xxj13XzJKdc6EkS6HEFqkQ8+fPL3ienZ3NqaeeGnLbBQsWFDzfsSPwn97ROnToUOI1K1euLHTsn8QVp379+rRp04b169cHjSMiEmneyNU8Pp6/peSLfWrXiuX207tx2bFtlVhJjaQEK7pOpvD3+P2iLgzwAUcSLAOGAf4J1tKA69sCCyhZ4BykwDhFxV4YZuw8YHkIbUTKRXp6esHzzMxMvvjii1LF2bOn5DUH9eoFFvk82q5duwodN2nSpIgrj9akSZOCBCswjohIJOXk5jH+7Xl8NC/0katj2jbgoQv60q5x3Sj2TKRyU4IVXYFFKjaE2C5wX6vAdViBCy8GAB+HEHeA3/NDQLCPv4PFDiXB8o+91jkXTgXC8lPF93GS0tm3LzJLAvOnGRYnJqbkmdeBpefj4+ND7oN/IYzs7OyQ24mIhCM/uZoUYnIVHxvD+NFduPrEDsTGaNRKajYlWNF1MOC4dojtAtczFaqD6pzbYGargfy5SMNCjOt/3Q9F7HE1E69ARf5HT8OAV4NcF8h/4UlaiP0RKRf169cveN6nTx/mzZtXcZ2hcH/AK1OelBS4+0JwmZmZRcYREYmEnNw8bnkn9OSqR/N6PHxRX7o1K3kEX6QmUJGL6Ar8yTQ4xHaB120Mco3/dMPhZtamuIC+1/0TrInBrvONPH3ud+o8Myu22IWZDeVIsldkbJGK4r/Z77Zt2yqwJ56mTZsWOl61alVI7fLy8lizZk2RcUREyio3z3HLO/NCLmgxrn9LPvjtCUquRPxELcEys05mdoGZ/dHMnjaz98zsCzP7wcy+N7PPzWyimT1pZn8ws/PNrGO0+lNB0gD/jWpuNLNi94cybzWofw3pPOC7IJe+5HsNvL/HkjbeuZMjf99ZwNvFXPuC3/MUvLLyxfX3Lr9T6/E2SxapNI4//viC59u2bSuUpFSE3r17U6vWkR8FP/30U0jt5s+fX2i648CBAyPeNxGpuXLzHLe8HXq1wHH9W/LvC/oSH6fP60X8RexfhJl1NrObzOxTM0sHlgFvAv8ErgXGAiOB44DjgVF4m+5eD9wPvAUsN7Odvhg3mVnnSPWvIjjntlJ4bVQv4H9FjQiZWRzwBN73Kd97zrmjKvI55xYB//U79Rsz+00Rca8FrvI79VCwmH6xPwOm+J2608xOL+LyewL6e6dz7lBRsUUqwqBBg2jUqFHB8fPPP1+BvYHExESGDBlScPzf//43pE2DX3nllYLn8fHxHHvssVHpn4jUPPnJ1QchJlfn+pIrrbcSOVqZEiwza2Vmt5nZErzqcw8DY4AGeNXvSvNo6IvxMLDUzJb47hFYMKKquBXY7Xd8AV4ieY+ZnWVmQ83sNDP7C7AY+K3ftenAH4uJ/QfA/6P458zsQzO72MyGmdklZvYR8KzfNTOAf4fQ72uADN/zeGCSmb1mZueZ2XAzu9LMpgC3+7WZBLwWQmyRchUXF1dok95HH32UOXPmVGCP4Oqrry54vmDBAl5++eVir1+xYgXPPPNMwfGFF16oNVgiEhG5eY5b35kXcnJ1Tr8WPKjkSqRIpUqwzGykmX0KrMUbwehK4STJlfHhH6ur7x5rfCNb/qMllZ5zbjlwGuC/gURL4C94Ccn3wKd4X6P/iN0m4DTnXJFzmZxz24HTKVx18Gzgdbzpif8DzvR7bT5wpnOuUNGMImIvwxt1zE+yYoHLgHeBb4EXgRP9mnwDXOycC317d5FydOONN9K5s/dPbP/+/YwaNYpPPvmkxHa7d+/mmWeeYfTo0RHtz0UXXUS3bt0Kjm+44QY+//zzoNeuXbuW008/vaD6YEJCArfddltE+yMiNVNunuMP78zj/TmbQrp+bL8WPHRhPyVXIsUIq4qgmV0E3Ab0zj/l+zPY3JbS/svLT7ICYxneyNYYM1sI3Oece6uU9yhXzrmpZtYL+BPexsPFbXqzHS95ecA5tzuE2EvNrDfeNMvLgWClyNKBZ4B/hDN9zzn3g6/fDwHjgIQgl230vf64kispD4mJiWFd37dvX6ZNm0ZycjIffvghJ5xwArt27SI9PZ0zzzyTQYMGMXbsWPr06UODBg3Izs4mPT2dRYsWMXXqVNLS0jh8+DBt2wZuI1c2CQkJ/Pe//+WEE07g4MGDZGdnc/rppzNu3DjGjRtHq1at2L17N99++y3PP/88e/fuLWj7wAMP0KNHj4j2R0Rqnvzk6r0Qk6uz+7bgIY1ciZQopATLzE4D7gX6Ujipyk+E/P+l5QGrgHnAEryRmI3ATuAAXslxwytZXhtoijei0wro7rtHh4CY/gmX4SV4r5vZn4G/OOc+DeXrqEjOuQzgT2Z2O9AT6Ac0wiuHvg/Ygfc9W1xE+fTiYmcCN5jZLcBwvE1/G+B9z1cBU5xzOaXs9xbgEjNL8cVuBSQD2/DW2f3sQlk8IhIhgXtIhXN99+7dmT59Oueccw6LFnlbvs2YMYMZM2ZEtI+hOuaYY/j8888555xz2LNnD845Jk6cyMSJwQtxmhn3338/N910Uzn3VESqm9w8xx/eDT25OqtvCx6+sC9xsSpoIVKSYhMsX5GJJzlSxCB/+l/+83yzgK/xpon9EMoUtBLumwQMBUYAp1B4E1v/+/cFPjKzr4HfOudWlOW+5cGXPM33PSId+wDwWaTj+mLvAT6MRmyR8tSpUydmz57NSy+9xKOPPsrSpUuLvNbM6Nu3L2effTaXX355VPozfPhwFi1axJ133snrr78edPNgM2P48OH885//LFQcQ0QkXKt27OX92Zt4f84mNu0+EFKbs/q24BElVyIhs6IGH8zsPrzy3PEET6xm4FUJfNc5tyGqnfT2cDofuAgY5Dsd2J9DwMPOuduRKmPgwIFu5syZZY6zZMkSunfvHoEeSXnIysoiOTm5orsBwIYNG5g6dSrbt29n9+7dJCQk0KBBAzp16kTv3r1p2LBhufXlwIEDTJkyhTVr1pCRkUFSUhItWrTgpJNOqtZ7XlWm90NNUxl/dqalpTF8+PCK7ka1smvfIT6ev5mJszcxd8PusNpWhuRK7wkhOxNWfglLP8UueHGWc65S71NS3AjWnzmSxOQXnsjCK5zwH+fcvCj3rYBzbj1eVcGHzawPcB1wKd5Utfw+xuOtcVKCJSIha926Na1bV44ipbVr12bMmDEV3Q0RqSayD+fy5DcrmTBlNYdyw18mfWaf5hWeXEkNlrkZln0KSz+FNVMg73BF9yhkoazBMry1PI8BT/qmilUY59x8vPVGtwG/B24EGldkn0REREQqk70Hc/jVi9OZtW5Xqdqf0ac5j17UT8mVlB/nYPsSWPaJl1Rtnl3RPSq1khKsTOA+vMQqtIm65cSX6N1jZg8Bv8MbuapXsb0SERERqViRSK4eU3Il5SE3B9b/7I1ULfsUdq2t6B5FRHEJ1iPAvb7qd5WWL/H7t5m9gLe3lIiIiEiNtPdgDleUJbnqreRKoiznEKyYDEsmwfIvIHt3Rfco4opMsJxzt5RnR8rKlwhWqT6LiIiIRMregzlc+dJ0ZpYiuYqNMa49qQPjR3VRciWR5xxsmQtz34AF78CBSj1+U2ZhbTQsIiIiIpXPPl9yNWNteMlV0+QEzu3fkgsGtqZT06Qo9U5qrKytMP9tmPs67FhS0b0pN0qwRERERKowL7maEXJylVgrhlN7NmPcgFac0KkxsTFWciORUOXlwepvYMYLsPxzcOFXsKzqlGCJiIiIVEF5eY4vl2zjkS+Xs3RrVkhtrhvWkd+d3ImkBP0KKBG2PwPm/s9LrHatiXz8mDhoNxSYFPnYEaZ/XSIiIiJVSG6e49MFW3jq25UhJ1YAN57SmfGjukSxZ1LjOOeVU5/xAiycCDnZkY0fnwydR0K3M6HTSKhdH35V+UdclWCJiIiIVAGHc/OYNHczT6WtZPWOfWG1vfHkTtw8snOUeiY1zsG9XrGKWS/BlnmRjZ3cArqeBl1Ph/YnQlxCZOOXg0qTYJlZPWAE0BaIBzYDPznn1lZkv0REREQq0rKtWbw3eyMfzN3EtsyDYbf//cmduHlUF8wq/yf/UsltXQAzX/IKVxwKffS0RKm9odvpXmLVvB9U8fdqhSdYZlYXuB+4GqgV5PVvgBuccyvKu28iIiIiFWFH1kE+nLuJ9+dsYtHmzFLH+f3JnRiv5EpKyznYsQzWfOeNWG2cEbnYjTpB34uh9wXQoG3k4lYCEUmwzKwdsMrvlAP6OecWltAuBfgG6AcU9S//FGCOmZ3rnPuy7L2V6so5p/9ARERC5Jyr6C6Inz37DzN3427mrt/NzHUZ/LQqndy8sv0d/W6EkisphT0bYfV3sDoN1kyBvVsjFzshBXqNg36XQKtBVX6kqiiRGsE6n8IJ0g8lJVc+/wH6+54X9VPEgDrAu2Z2nHNucem7KdVVTEwMeXl5xMbGVnRXRESqhLy8PGJitKFsRVmXvo8pK3YyZ/0u5m7YHfaaquLExRh/PLUrV5/YQcmVFC8vF7YvgY3TYcN02DANMlZH/j4dhsOAX3rrqmrVjnz8SiZSCdZov+cO+F9JDczseOBCCidWgT8FnN/rycDTwPBS91Kqrfj4eLKzs6lbt25Fd0VEpErIzs4mPj6+ortRo+zad4iP52/mvTmbmLN+d8TjxxiM7deS347oSKemyRGPL9WAc7B+Kqz+1kumNs6K7Foqf4kp0O8yGPhraNwpOveopMqcYJn30chgvEQoP0H6NISmf/IP4/vzW+AlYDvQC/g/oBVHkqwTzexU59znZey2VDP16tUjMzNTCZaISIgyMzOpV69eRXej2juYk8s3S7bz3pxNpC3bzuHcyE/NjIsxxg1oyQ3DO9Gusf4flCAyN8Pc12HOf6OzR5W/5v1g8NXQcxzE14nuvSqpSIxgtQfqcSQJWuec21hcAzNrCJzKkaTMAa875y73u2yymf0XmIpXWTDfZYASLCkkOTmZtWvX0qRJE+LiKrx2i4hIpZaTk0NWVhbt2rWr6K5UO4dy8li4eQ8z12YwY+0upq1OJzM7Jyr3io+N4aJBrbl2WAdaNaiZv8hKMXIOwfLPvKRq5Vfg8qJ3r7ja0Ps8OObX0OqY6N2niohUgpXPAQtCaHM2XsXA/KTsIN5oVSHOue1mdhPwIUeSsbPK0lmpnuLj42nQoAHr1q2jbdu2SrJERIqQk5PDunXraNCggaYIRkBunmP6mgx+WrWTGWszmLthN9mHo/iLLNCyfm3O7d+Sy49rS2q9xKjeS6qYnIOw5ntY9gks/hD2p0f3fk26w8Aroc9F3ibAAkQmwWoTcBxKOfURfs8d8L5zLug7wDn3kZltBVJ9p5LMrLPKtkugJk2aALB69WqSk5OpV68eiYmJxMTEaJGviNRYzjny8vLIzs4mMzOTrKwsGjRoUPAzU8LnnGPhpkw+mLuJj+ZtZntW+HtThSspIY7Tezdj3IBWDG7XkJgY/b8mPvszYMVkWPYprPwaDu2N7v1i46HHOd7aqjbHVttKgGURiQQrfwJ3/lS/PSG0GUbh6YGTSrj+e+ACv+PehJbISQ3TpEkTUlJSyMrKYvv27Rw6dIi8vOh+kijhy87OJjFRn7qKR++H6IuJiSE+Pp569erRrl07jVyV0rr0fXw4dzMfzN0U0ap/RYmNMU7s3JhxA1oxqnsqteNVKVeAfem+qn/TvIIVG6aDy43uPRt2hA7DoP0wryKgRquKFYkEK3DSb7Fps5m1xBv18l/lWdL+VoHJlD52kyLFx8fTqFEjGjVqVNFdkSKkpaXRv3//ki+UGkHvB6nspq5O59GvljN1dUZU79M4KZ5+rRvQv019+reuT5/W9UlK0JT3Gm/3elj1zZEy6ukro3/PpGZ+CdUwSGkV/XtWI9H4V5tQwuvHBxwvc86V9BMrcFRMtUdFREQkqhZs3MO/vljK9yt2RiV+Yq0YRvdoxindmzKgTQNaNaitKe3iSV/lraFa/CFsmRvde1ksNOsFrYdAq8HQejDUb6Opf2UQiQQr0/dn/ohUwxKuH+r33AE/lOKemtsgIiIiUbFy+14emryMzxZujXhsMziuQyPO7d+SU3s1IzmxVsTvIVWQc7BjmZdQLZkE2xZG9361G0LfX3gb/7YcAPEq7x9JkUiwdgUcdynh+pEUXn/1Ywj3qB9wHP2JzyIiIlKjrNyexX++W83E2RvJi/B2VT2a1+Osvi04p38LmqfUjmxwqZry8mDTLFj6sfeI9tQ/i4GOp0D/y6DraRBX0qQzKa1IJFiL/Z4bMNTMYpw7uti+mXUGulN4/dX3IdyjccDx7nA7KSIiIhJoy54DTJq7mQ/nbmbxlsySG4QgPjaGvq1TGNiuIYPaNWBAmwbUr6PJN4K3N9XaKbD0E1j6KeyN/CjpURp2gH6XQN9LIKVl9O8nEUuwDuHtawXQALgQeDPItdcFHG9yzq0O4R49A47XhdVDEREREZ89+w/z6cItfDBnE9PXZuAiMFrVqkFtxvZrwfCuTendMoXEWqr4V+M5B3s2wqaZsHEmbJwBm+dCbvTL+tPyGG/6X7czoEk3racqZ2VOsJxzh8zsC7wNgPOn/j1mZvOcc0vyrzOz44EbKDw98P2S4pu32rOvXztQiXYREREJ0579h3kqbSWv/rw2IpsBN6hTizP7eNP+BrRpoAIVNV1uDmydB+t+hvU/e0lVeYxQAcQmeNX+up7uTf9LblY+95WgIlVF8BW8BAu8RKgJMMvMJgErgfbAeXjFKfw/J3ophNgDgbp+7TKcc5si0WkRERGp/rIP5/Laz+t48tuV7DlwuMzxRnZvyiVD2nBi5ybUio2JQA+lSjqc7a2hWvcTrP/JK6Me7U1+89VtCm2GeJX/Wg+B5n21pqoSiUiC5Zx7z8x+Bo7DS4QckEjhzYHzR63y//zEOTc3hPDj/G8FTItEn0VERKR6y8tzTJq3mX9/sYxNuw+UOd5xHRrxh1O7MqBNgwj0Tqqs3BxI+ydMfw4OBu4kFCXxydD1VOg0ykus6rfVtL9KLJL7YF2JV7AivyCF/5S+/ON8GcBvQ4x7HuFXHRQREZEaavPuA0xdnc4LP6xh0eayF67o0yqFP4zpytBOjTUNUOCjm2Duf6N/n8T63hqqHmOhw3CNUFUhEUuwnHPLzWwUXnGLbvmn/S7J/4m0BRjrnNtQUkxfvE4BcT6PQHdFRESkGnDOsSHjAFPXpDNtdQbT1qSzcVfZR6sAOjVN4tbRXRjTs5kSK/FsWxTd5Cop1VtD1f1saH8SxGqftKookiNYOOfmm1lfvNGs8/Cq/zUB9gJLgQ+BZ5xzWSGG/D/fnwXJmXNuTuR6LCIiIlVJ9uFcFm7aw+z1u5izfjez1+9iW2bkqrIlJ8Rxaq9mjO3XkuM7NiImRomV+Fk4MfIxG3aAbmdC97Og5UCI0bq+qi6iCRaAc+4wMMH3KKs/A7f7HYeamImIiEg1MW/Dbt6fs4k563exaHMmORHeBTg+NoaTuzVlbL8WjOjWVCXWpWjLJ5c9RlwiNO8HnUZC9zNVRr0ainiCFUnOuQUV3QcRERGpGNuzsrn9vQV8tWR7VOI3TU7g96d05uy+LUipralYUoI9m2BbKX41bdgRWg2CVgO9R2ovTf2r5ip1giUiIiI102cLtnD7+wvYtb/sZdUDJSXEcd2wDvx6aHvqxOtXIQnRihBGrywWWvSHtsdB2xO8Eup1Gka/b1Kp6KeKiIiIVBr7DjvGvzWX9+ZEfsvLuBjj0iFt+P0pnWmcpIpsEqYVXxb/etfTYdxzkJBUPv2RSksJloiIiFQKP67cyR0/HiAje39E45rBab2a8Ycx3WjfuG5EY0sNkXMQVqcVf02Pc5RcCaAES0RERCpQXp5j1vpdvD1jA+/M2hixuC1SEhnSoRFD2jfkpC5NaFG/dsRiSw209gc4vK+YC8wrWiGCEiwRERGpAMu3ZfHBnE18OHczm3aXfd+qto3qMLhdw4KkqnXDOhHopYhPSeuvWg2Cuo3Kpy9S6RWZYJnZM8Cdzrkd5difUjOzpsDfnHPXV3RfRERE5Gird+xl8uJtTJq7mcVbMksdp058LH1b1ad/m/oMaNOAfm3qa02VRFdJCVaX0eXTD6kSihvBuha41Mz+BTzqnNtbTn0Ki5klAeOBW4G6gBIsERGRSiA3zzF7/S6+WryNL5dsY/WO4qZYlax5SiL3ndubEzs3Ji5Wm7FKOdm5EjJWF39N5zHl0xepEkqaIlgX+Btws5k9CTzunEuPfrdKZmaNgJuBG4AUwIDI7jwoIiIiYXHO8dOqdN6fs4lvlm4nY9+hiMQ9t39L7j67p/arkvK34oviX09uDs16l09fpEoIZQ2WAQ2AvwK3mNkbwATn3Iyo9qyozpgNBq4DLgRq+/onIiIiFcg5x1dLtvPkNyuYt3FPxOLWr1OL+87tzem9m0cspkhYlpeQYHUe5ZWqFPEpLsG6C/gzXhLj8BKZOsCvgV+b2XzgTeBd59yqaHbSzDoBFwAXAfkfEeS/k/P7dgD4ZzT7ISIiIoXl5jk+X7iVJ75ZwdKtWRGNPaJrEx44rw9N6yVGNK5IyA5mwbqfir9G0wMlQJEJlnPuH2b2GvA4cCZHpt/lJzZ9gT7AfWa2EPga+Ab4wTm3uyydMrOGwFBgBHAK0DPg3nAksTLgY+BG59zastxXREREQpOTm8dH8zfz5DcrWVXGtVWBOjVN4rcjOnJOv5aYRgakIq1Og7zDRb8eUws6DC+v3kgVUewUQV/CcraZnYw3OjSIwuuc8n/q9QZ6ATcBmNlGYD6wFNjoe+zEG2U64GtX2/doArQEWgHd8ZK2FkHuAYWTPAOmA7c7574J8esVERGRMtqQsZ/fvTGHeRt2Ryxm0+QEzu7bgtZ5W/jlWScpsZLKoaTpge1O0ObCcpSQ9sHyJTBDzOwc4HZgYP5Lfpf5/yRsjZcwnV6KPgX+RA12j5nAvc65D0sRX0REREppXfo+fjFhKlv2ZJc5VnJCHKf2asY5/VtybIdGxMYYaWnblVxJ5eAcrPiy+Gs0PVCCCGujYefcB8AHZnYSXmn0M4DY/JcDLi/tT8dglQANyAU+AR5yzn1fytiVgpnVAkYB44DBQDO8QiL7gfXAXOA74NtQ17eZWTfgl8AYvAS3HrAVWAa8A7zlnCvV5HgzGwhcjjdlsyXeyONmYCHwFvCec+5gaWKLiEjVsSFjPxeXMblqnJTAyO5NGdk9laGdG5NYK7bkRiIVYcs82Lu1+Gu6KMGSo4WVYOVzzk0BpphZM+Ay36OP/yWUrWS6f3I2H3gN+J9zroR3eeVnZsOBp/GmQwaqhzfVshfe93QT3khgcfHi8AqS3MaRZDdfW99jNHCHmV3hnPs2jL7WBR4GrgnyckffYyyw0Mwuc87NCzW2iIhULRsy9vOLCVPZXIrkqnPTJEb1SGVkj1T6tapPTIxGqKQKKGn0qmFHaNSxfPoiVUqpEqx8voTnQeBBM2sLnIY3gjIEb1SmNLYA04DJwKfOufVl6WNlYmb/BzwScHo3sBrYBSQDnYCGYYR9AW/kKp8DluCteWuPN5oF0AaYbGZnOOdK2I68YJRtEnCy3+nDvth7gC5Aqu98L+B7MztRSZaISPWzcdd+Ln5uKpt2Hwi5TYzBmX1acMOIjnRrVi+KvROJkpL2v+o8unz6IVVOmRIsf865dcCzvgdm1hLoB3QA2uH9Mp6EV+odYJ/vsQVYh5dkzHXObY5UnyoTM/s9hZOrH4A7gSnOudyAazsDZwGnlhBzPIWTqynAb5xzK/yuGQW8jFc4JA54x8z6+P6+ivMQhZOricBNzrlNvrgxeKXzJ+CNvCUDH5tZj9JORRQRkcpn8+4DXPzcVDbuCi25io0xzu3fkhuGd6RDEy3+lypq307YOLP4a7oowZLgIpZgBfL9Ir4pWvGrEjPrhTfSl+9R59zNRV3vS5Ae9j2KitkIL0HLNwcYHbgWyjn3pW/N3Fy8BLce8A8KJ2aBsbsCN/id+hi4wDlXMO3TOZcHvGVmG/ASu1i86Yx/COiXiIhUUVv2HOAXE6ayIaPk5Co2xrhoUGuuH9aR1g3rlHi9SKWzZyNsmAYbpsOa7yl2tUututD2hHLrmlQtUUuwpJDngXjf88+LS67C8Dsgxe/42qIKTTjnVpnZP4AHfKcuNbM7i9k37M8cWc91GLjOP7kKiP2TmU0ArvedutnM7nfO7Q/jaxERkUokfe9BXvhhDa/9vI6sgzklXh8bYzx1SX9O7dW8HHonEiE5h2DNFFj6kbfeKjOMcYGOIyAuIXp9kypNCVaUmdkJeGvSwPso5MYIhb7A7/l059yMEq5/HvgbkAjEAOfhTQMsxLf2aqzfqffzpwUW40mOJFhJeGvxJpbQRkREKpmte7KZMGU1r09fR/bhvJDaxMYYT1ys5EqqiIN7YeWXsORjWDEZDmaWLk7nUZHtl1QrSrCi71q/5z/4r48qLTPrAPT0O/VxSW2ccxlm9jNeqXWAswmSYAEn4pWMDyf2YjNbg1dUIz+2EiwRkSpiQ8Z+nvluFe/O3Mih3NASK/AKWTx6UT9O763kSiqx/Rmw7DNY8hGs+gZyI7CzjApcSDGUYEWff6GKEup9hqx/wPGPIbb7kSMJVr8oxM5PsAJjiIhIJZSTm8d/pqzmsa9WhJVYgZdcPXJRP87q2yJKvRMpg8wtsPRjL6la+wMUridWNs37Qj2976VoSrCiyMzaA038Ts33nW8J/Bo4B6/CYh28suoLgc+BF0uoxNcj4DjUUTH/6+qZWSvn3MZiYh8G1pYidhcziw2sjigiIpXHmp37uOXtucxevzvstjEGD1/Yj7H9Wka+YyKlsS8dNs30Kv+t/hY2lrRyogyOj9RqD6mulGBFV9+A481m9ivgCbyy5v5a+R6n4m0KfINz7u0i4rbze54LhFraPrA0ezsgMMHyj73JVy0w3NgJQPMgsUVEpILl5Tn+O20d//x0KQcOh/85mBk8eEFfzumv5EoqSF4ebFvgVfvbOMN7ZKwun3ufeAv0Oq987iVVlhKs6GoccDwOr0Jfvo3AKryEpBdegQiARngl0FOdc08Eieu/Y2NWGCNFewKOA5O8wNi7Q4wbamwAzOwa4BqA1NRU0tLSwriNVAd79+7V37sU0Puh/GRk5/HCgoMsSg9vOmC+lATjql7xNMxcSVraygj3zqP3gwTau3cv333zJfV3L6Txzmk03jmdhEPp5XLvnNhEspK7sCelG9ubDmN/bCv47rtyubdUXUqwoqt+wHF+crUUuMY5933+C2aWgJd0/Bsv4QJ42MxmOed+Cojjv3NjaDs/Br82WBIUzdgAOOcm4G1QzMCBA93w4cPDuI1UB2lpaejvXfLp/RB9zjnen7OJu9IWkZUdfnLVrF4i15zUgYsHt6F2fGzJDcpA7wcpkJ0JK79i2+KXSN0zt/QV/8JRvy20OQ5aD4LWQ4hr2oMGMbE0oPAUH5HiKMGKrsQg59YCQ51zhT568e1h9YSvGt9HvtNxwH3A8IAYtfyel7xBSdHX1gpyTTRji4hIOduRdZDb31/Al4u3hd22TcM6XD+8I+MGtCQhLrqJlQjgbfa77DNY9qm32W/eYVKjfc/m/aD7mdD9bGjSNdp3kxpACVZ07QtybnxgcuXPOfexmb0LnO87NczMOjnn/Odi+McNlsQVJfDaYP2LZmwRESlHn8zfwl8/WMCu/YfDatepaRK/HdGRs/q0IC42Jkq9EwGcg63zYemnXlK1dX7072kx0OZ46H4WdDsD6reO/j2lRlGCFV2BlQD3AJNCaPcKRxIs8Eaw/BOsvX7P64TRn8Brg1UqjGZsEREpB7v2HeKODxfy8fwtYbWLizFuPKUzNwzvqMRKomtfOsx7HWa9DOnRWc9XSGw8dBjhjVR1PR3qBi6TF4kcJVjRtSPgeE6IBSlmBRx3LCZuXTNLLqGse77AnSB3BrnGP3Y4O0eGEltERKLsy8XbuO29BezcG95mqp2bJvHIRf3o1TIlSj2TGs85WPcjzHwJlkyC3EPRvV+tutB5lDdS1Xk0JNYruY1IBCjBiq7FAccZIbYLTE4aBhwvDThui7eHVkna+j3PA5YHuWYpMDb/vmEkb/6xtzrnAqsKiohIFOXlOf7+8WJe/mltWO3M4OoTOzB+VBcSa2mdlUTB3u2w4B1vtGpnsF89IiSpGbQaCK0GeX+2HAi1wlntIBIZSrCiaxVedb3avuOEYq71F/jTILBC36KA4wGElmAN8Hu+1jkXrEpgYOz+wJQwYwcmliIiEkV5eY7b3lvAWzM3hNWudcPaPHRBPwa3D/wcT6SMDuyCJR/BwomwZgqEvK1mGBq0gy6nQush0How1GvpfWIgUsGUYEWRcy7PzL7D2zwYoEOITQOv2xpwPBOviERd3/Ew4NUQ4p7k9zytiGsCN3cYRgkJlpklAkNCiC0iIhGWl+e4/f3wk6tLhrTh9tO7k5SgXwUkQg7u9SoALpwIK7+CvPCKq4SkeT/odqZXnKJpdyVUUinpp2r0vcuRBKubmbV1zq0roc2YgONC+2A55w6Y2edA/lbi55nZ751z+4sKaGZDKZy4TQx2nXNuvZnNAo7xnbrczO5xzrli+ns+R0bpiowtIiKRlZfn+MsHC3lzRujJVfOURB44rw8ndWkSxZ5JjZG11av+t+wzWP0d5Ia39q9EMXFkpPSk4bGXQbfTIaVVZOOLRIESrOh7F/gX3joqA/6Ct6FwUGaWAtzod2or8HOQS1/gSIKVAtwM3FtETAPu8ju1HviqmD6/wJEEqzNwCfC/ImInALf5nZrqnNMUQRGRKHPOcceHC3lj+vqQ25x/TCvuOLMHKbW1VaGUknOwfQks+8RLqjYF1uWKgIQU6DIaup4GnUYyf+ochg8ZHvn7iESJEqwoc87tMbO/A4/6Tl1tZgucc08EXmtmdYG3gJZ+p//pnDtqjN0595mZTeHItL87zWyOc+7TIN24Bxjpd3ync6640j3PA+OBTr7jJ8xsuXNuRkB/44AJQA+/038uJq6IiESAc447P1zE/6aFllw1Tkrg/nG9Gdkj6lu2SnV1aJ9XqGLG87B1QeTjJ6ZA7wu9in9tj4dYfQggVZcSrPLxFHAaR6b+PW5m5+KNCq3CK34xELgO8B/7/gx4spi41+BNH2wIxAOTzOwN4AMgHWgPXAmc6NdmEvBacZ11zh02syvxRrkSgAbAFDN7AfgSb4+rrsC1QF+/pk865wLXcImISAQ557hr0iJem1rSbHPPyd2a8tAFfWlQNz7KPZNqaedKL6ma+zocjEKB4FaDYeCV0OMciA9n+02RyksJVjlwzuWY2fl4yc0I3+kRfs+D+Qi41Lmiy+4455aZ2VjgQ7wkKxa4zPcI5hvg4uJi+sX+wcwuxSueUQevsuFvfY9gXgduKimuiIiU3vbMbG57bwFfL90e0vWje6Ty5CUDiI/TpsEShpyDsGIyzHgBVn8b+fgJKdD3IjjmCkjtGfn4IhVMCVY5cc7tNbNTgBuAW/BGl4JZAdwHvFJCYYn8uD+YWS/gIWAcwUvBb/S9/ngoyZVf7IlmNh9veuMYvAQuWH//7pz7b6hxRUQkPM45Js3bzJ0fLmLPgdAqs43sruRKwpBzEFZ9C4s/gKWfRn60KqYWdDoFep3nVQCMr1tyG5EqSglWOfIlTE8BT5nZQLy1S83wNv3dDkx3zgVuIhxK3C3AJb4CGcPxphkmA9uAZcDPoSRrRcReAZxhZk3x1nu1xBvN2gIsdM7NLk1cEREJTfreg9zx4UI+XRC4Y0fRRnZvytOXKrmSEuQnVYve9wpWRDqpshhod6KXVHU/C+povzWpGcolwfJVseuHVya8EUfWDGU75/5VHn2obJxzM/H2s4pkzD140wUjzjm3Ha8iooiIlJPPF27lL+8vIH1fcXWJCjulW1OeUnIlRXEONs6Eea/Dwvcge3dk41usV6Si25nQ81xIVmEVqXmimmCZ2Vl4hRCG4o2oBNqDV8K8qPaX4I2W5PvBObc8op0UERGpZPbsP8zdHy3i/Tmbwmo3omsTnr5sAAlxwWZ0S422ez3MewvmvQEZqyIbOz4JOo30pv51GqmRKqnxopJgmdmJwLNAt/xTpQx1Ml4VvHxvApeWoWsiIiKV2nfLd/Cnd+ezNTM7rHbDuzbhmcuOUXIlR2RuhqWfwOIPYe33kY0dVxt6n+eNUrU7EeKCLQEXqZkinmCZ2W3A3/AKIuQnVsHW/4SSdD0K/NrX3oBzzCzZOZcVga6KiIhUGvsO5nDvp0t4PcS9rfxdcXw7bj+9u6YFCuxcAUs+gqUfR2cT4IYdYdBvoN/FULtB5OOLVAMRTbDM7A7gbo5OrPyTqZCLLTjnFprZT8DxvlOJwJnAG2XrqYiISOUxfU0Gt74zj/UZ+8Nq17J+bf59fh+O79Q4Sj2TSs852DIPlkzyEqudUVhJYTHQ5VQvseowAmKUyIsUJ2IJlpldgDdy5SicWGXgbXz7I15Vu48JI8kC3sNLsPLbjEQJloiIVFHOOTbvyWb51iyWbctiwaY9fLpgC+HWer1oYGv+emZ3khNrRaejUnnl5cGmmd7UvyWTvPVV0dCsD/Q8B3pfAPXbROceItVQRBIsM0sEHvE/5fvzQbw9kvb6XRtu+A98cfLjnly6XoqIiFSM9en7eX36eqavSWfFtr1kHcwpdaymyQk8cF4fRnRrGsEeSqXnHGyYBgsneiNVWVuic59mfbx1VT3GQqOO0bmHSDUXqRGsG4AWHFkr5YDrnHPPlTWwc261maXjlXYHaGNmKb6S5CIiIpXal4u3cdObc9h/KLfMscb2a8Hfzu5J/TrxEeiZVAkZq73qf/PfhF1ro3OPxl2h70XQ4xwlVSIREKkEK7+yX35y9XIkkis/c4FT/I67AdMiGF9ERCTivly8jev/O4ucvFLt9V6gYd147j2nF6f1bh6hnkmldmCXt/nvvDe9UatoqNMIep3vFato3g/Cn2EkIkUoc4JlZk3wNhHOH73KAe4sa9wAyymcYHVACZaIiFRiXy/Zxg3/K3tyNbpHKveN603jJJXBrpby8rzCFBtn+B4zYccScHmRv1dsvFesou/F3n5VcRoJFYmGSIxgDeLIyJUDpjnnwtsZsWS7Ao7rRzi+iIhIxHy7bDvX/3c2h3NLn1wlJ8bxt7N7cm7/lqVZvyyVWeZmby3Vyq+9UuoHM6N3r/gk6DwKup0JnUdDYr3o3UtEgMgkWIGrbKdHIGagwPVWyVG4h4iISJl9t3wH1742i0O5pR+BOLFzYx44rw8t6teOYM+kQh3c6xWnmP8mrP6O8Aoqh6lOY+h6GnQ/C9oPg1qJ0buXiBwlEglWE9+f+aNY2yMQM5C2pRcRkUrvhxU7uebVmRzKKV1y1TU1mauGtueCga00alUdHNoH636G+W95G/8eDm+fs7Akt/ASqh5nQ5vjIEa/OolUlEgkWIFlkaKx+1zDgOOMKNxDREQkLM45Nu46wOz1u5i9bhdvztjAwRCSq7gYo0OTunRJTaZrajJdm3mPNg3rKLGqqvLyIH2ltz9V/lqqbYvAlb16ZJEatIPuZ3uPlsdoA2CRSiISCdYO35/5Y92ByVAktA84To/CPUREREq0e/8h3pu9iamr05m9fjc79x4Mq33T5ATeuvY42jeuG6UeSrk5tB+WfepV/Fv7PWSXww4ydZtA7wuhz4XQvK+q/4lUQpFMsPL1iUDMQCdwpEohwIYo3ENERKRIuXmOF35YzcNfLif7cOmmADZJTuCNa45VclWV5ebAmjSY/4437e/Q3ujfMy4Rup3hVf/rMAJiI7XLjohEQyT+hc7ze27AsWaW4JwL7yO9IpjZcUAzjoyQ7QPmRCK2iIhIKFbv2Msf3p3PrHWBRW1D1zgpgTeuHkLHJkkR7JmUi7xcb9rfog+86n/7orHcPEBiCrQe4k3/63G2dywiVUKZEyzn3BYzWwj09J1KBi4GXi5rbJ9b/W8H/OhcNCc0i4iIePLyHC//tJZ/fbG01KNWAI3qxvP61UPo1FRFcKuMA7u8MurLv4CVX3rH0WIxkNoTWg068mjYUWuqRKqoSI0xfwb04sg0vn+Y2fvOuTJNRjaz84Bz/eI6YGIZ+yoiIlKi9en7ufXdeUxfU7a6Sg3rxvO/q4fQJVXJVaW3e723nmr5F7B+anQLVMTEQadR3lqqzqMhQSObItVFpBKsx4DfA/nbzLcA3jSzc0o7VdDMhgEvUHijiC3AK2XpqIiISDC5eY4lWzKZsTaD6WsySFu2gwOHy/YLdsO68fz3qiF0a6bNXSutfemw+H1vTdWGqdG/X8tjoM8voNc4qNs4+vcTkXIXkQTLObfZzJ4GxnNktGk0kGZmv3HOLQo1lpklAf8H/BWIp/Do1b+dc4cj0WcREZGte7J5f84mpq9JZ+baXWQdzIlI3KSEOEb3TOXW0V21WXBldHAvLPsMFrwDq76GvMj8vQeVUM9LqtoeDz3Phcado3cvEakUIlmG5m5gDNCDI0nREGCumX2JN7VvXkCbGDPrCjQGOgHDgbOABhxJqvD9+Q3weAT7KyIiNVT24Vwe/GIZL/+0lpw8V3KDEnRoXJf+bRowoG19BrRpQJfUZGJjVD67Ujmwy5v6t+QjWPkV5GRH4SbmW0s10FtH1XIgNO6itVQiNUzEEizn3F4zOxOYBjThSJIVi5d4jfG7PP9/nWRgcUCo/Nec3/EG4BfOubL/LygiIjXaki2Z/N+bc1m2LatMceJijBtGdOLK49vRoG58hHonEZW1DZZ94iVVa6ZEb6SqRX/ofQH0Og+Sm0XnHiJSZUR0IwXn3DozG4E3WtWNwklSMMHOu4DX5wNnO+e0ubCIiJRaXp7j+R9W8+AXyzmUW/qKgADdmiXz4AV96dVSpbMrjbw82LkcNk6HDdO9suo7lkbvfg3aewUqel+gaX8iUkjEd6pzzi0xs4HA08DlFJ7qF6r8Nv8DrnPO7YtsL0VEpCbZtPsAt7w9l6mry1YRMDbGuH5YR35/SicS4mIj1DsplexM2DQTNsyADdO859llKl5cstTe0GU0dD3dW1dlmgYqIkeLylbgzrn9wBVmdj/wJ7x9sYLNn8ifRugvF/gEuMs5F7hmS0REJGTOOSbN28xfP1hIVnbZpod1aprEQxf0pW/r+pHpnITOOUhf5SVSG6d7SdX2xYT/+W2Y4hKhw3CvjHqXMZDSKrr3E5FqISoJVj7n3FLgSjO7ATgOGIa3IXEjoCFeWfcMYCewDq+QxTdl3T9LREQkfe9B7vhwIZ8u2FqmOF1Tk/nF4NZcPLgNibU0alWudq6A+W/B/Ldh97ryuWdcInQ9zZv612EExNcpn/uKSLUR1QQrn3PuAL7kqTzuJyIiNdvnC7fyl/cXkL7vUFjtYgx6tKjH4HaNGNy+IYPaNaBRUkLJDSViah3aDVOf8RKrzXPK56YW4yVTvS+A7mdCgjaFFpHSK5cES0REpDzs2X+YuyYt5IO5m8Nql1grhj+f2o3zjmlFcmKtKPVOinRoHyz9BOa/zfErvwbKVoQkNAZtjoMeY71Nf5OalsM9RaQmUIIlIiLVwrdLt/OnifPZnnUwrHa9W6bwyEX96NQ0KUo9k6ByD8Oqb2HB215ydXg/UHTZ4YiIqQUdhkG3M6HbGUqqRCQqlGCJiEiVtu9gDv/4eDFvztgQVrsYgxuGd+LGUzoTH6eNYMtFXp5XPn3hu7DwPdi/M/r3rN0Q2p0A3c/2ilXUrh/9e4pIjaYES0REqqw563dx81tzWZu+P6x2rRvW5pEL+zGwXcMo9UwKHNoPq9Ng2aew/HPYtyN697IYaNoTWg+CVoOh9WBo2EHl1EWkXCnBEhGRKicnN4+nvl3F49+sIDcvvFLdFw1szR1n9SApQf8FRs3+DFjyESz7DFZ/CznZ0blP7QbQKj+ZGuTtTaUCFSJSwfS/i4iIVCnr0/dz89tzmbVuV1jtmiYn8MB5fRjRTetuoiZzC/z0OMx8CXIORD5+Uqq3H1XrId6jUSeNTolIpRO1BMvMagOjgWOAPkBjIAWoQ9nWsDrnXMey91BERKoS5xwTZ2/i7kmL2HswvE2Dz+nXgrvP7kn9OsH2vJcy270BfnwUZr8GueEVGSlRrbrQ/SzocyG0Hwax+mxYRCq3iP+UMrMWwN+AC4HAkkyR+Jgpytu2i4hIZZOZfZjb31vAx/O3hNWuUd147j23N6f2ahalntVwu9bC9w/D3Nch73Dk4losdDwZ+lwE3U6H+LqRiy0iEmURTbDM7ArgMbzEKlgyVdbkSPMARERqmLkbdvP7N2azISO8KWen9WrGPef00kbBkeYcrJ8KM56DRR+Ay41c7JYDWVG7P53P+aNKqItIlRWxBMvMbgCe4EgSpJEmEREptbw8x4TvV/PgF8vICaOQRVJCHH87uyfjBrTEtD4ncg7tgwXvwPTnYduCyMVt2NGb/tf7AmjUkU1paXRWciUiVVhEEiwz6403cmUUTqz8/2c7CGQB+yJxTxERqb52ZB1k/Ntz+X5FePskDWzbgEcu6kfrhnWi1LMaKH0VzHgB5vwXDu6JTMzGXaDradBjLLQYoEIVIlKtRGoE699ALEcnV58A/wWmOufWReheIiJSjX2/Ygc3vzWPnXtDL5YQG2P83ymduX54R+JitWlwRGyZD98/CIsnUeZJKRYDrY/11lN1OQ0ad4pIF0VEKqMyJ1hm1hA4hSM/fQ3IBM53zn1V1vgiIlIzZB/O5V+fL+PFH9eE1a5947o8clE/+rWuH52O1TQbpsOUB2HFF2WPVb8NnHAT9DgX6jYqezwRkSogEiNYJ3Fk9Cp/iuBlSq5ERCRUizbv4ea35rJ8296w2l00sDV3ntWDuto0uGycgzVTvBGrNVPKHq9hRzjxFm9tVWytsscTEalCIvE/UouA43nOuY8jEFdERKq53DzHp6sP8f6XP3I4N/RpaMkJcfzzvN6c2SfwvyAJy45lXiXAxR/A9sVlj9e4K5z0B+g1DmJiyx5PRKQKikSCVd/vuQO+iUBMERGp5jbu2s/4t+cxfU14+yf1a12fJy7ur0IWpeEcbF8Ciz/0kqodSyMTt/UQOPZ66D4WYrQGTkRqtkgkWFm+P/OnB26NQEwREammnHO8P2cTd324iKyDOSG3M4PrhnVk/Kgu1FIhi/Ds2QTz34R5b8HOZZGJGVcb+lwAg66G5n0iE1NEpBqIRIK11vdn/tyOpAjEFBGRaihj3yFuf28Bny8K77O4xkkJPHJRX07s3CRKPauGDu2HpZ/A3P/B6jQitj1lg/Yw6DfQ/1Ko3SAyMUVEqpFIJFgzKPxTu20EYoqISDXz9ZJt/GnigrDKrwOM6NqEf53flybJCVHqWTXiHGycAXNe89ZWHcyMXOzWQ7zCFZ1GaRqgiEgxypxgOee2mtlPwPF40wRHlrlXIiJSbew9mMM9Hy/mzRkbwmqXWCuGv57Rg0uHtMG0EW3xDu2Hhe/C9AmwdUFkY7cf5hWuaDdUGwKLiIQgUnVtHwJOwBvJamFmFzjn3olQ7GrPzP4HXBJwur1zbm0YMboBvwTGAK2Benjr4ZYB7wBvOeeyio5QbOyBwOXACKAlUBvYDCwE3gLec86F95G0iFR7h3Ly+H7FDu7+aBEbMg6E1bZPqxQeuagfHZto1nmxMlbDjBdgzn8he3dkY3c5FU68FVoPimxcEZFqLiIJlnPuAzP7HDjVd+pBM/vOObc9EvGrMzM7m6OTq3DaxwF3Abfh7Ufmr63vMRq4w8yucM59G0bsusDDwDVBXu7oe4wFFprZZc65eaX4EkSkGsnMPkzash18uXgbaUu3h1XEAiDG4HcjOvH7UzqrkEVRDmfDisneNMAVXxKxtVUAifWh+5kw+FoVrhARKaVI7sz4S+AHoAvQCphsZueEMwpT05hZA+DZMoZ5Ae97n88BS4CdQHu80SyANnh/J2c45yaH0LdawCTgZL/Th32x9+D9Paf6zvcCvjezE5VkidQ8eXmOD+Zu4v05m5i6Oj2s/az8tW1Uh4cv7McxbVU44Sh5ebDuB5j/NiyeBAf3RC527YZeUtXjHGh/kjYGFhEpo4glWM65nWY2AvgE6Af0AeaZ2b+B/zjndkTqXtXIo0Bz3/PJeCNNITOz8RROrqYAv3HOrfC7ZhTwMt6G0HHAO2bWxzm3roTwD1E4uZoI3OSc2+SLGwNcAEzAm46YDHxsZj1KOxVRRKqeDRn7+f0bc5i7YXeZ4lw8uA1/OaM7SQmR/NyvinMOts6HBe/AgomQtTlysWs3gB5jvaSq3YkQq++7iEikRPQnqnNui5kdDzwIXIf3S/ffgLvMbAEwB0gH9pbxPn8va18rmpmdzpHk6BPgXcJIsMysEXCn36k5wOjAtVDOuS/N7CRgLl4J/XrAPyicmAXG7grc4HfqY+AC51zBx9LOuTzgLTPbgJfYxeKNXP4hoF8iUk2tS9/HxROmsnlPdqljNE5K4LIu8H/jekewZ1VYXp5XBXDJJFjyEewu6bOwMFgsdB4N/S6BLmMgTlUZRUSiIeIfWTnnss3sDeA4oD9eZcFYvFGtvhG6TZVOsMwsBW/kB7yNmq8HTgkzzO+AFL/ja4sqNOGcW2Vm/wAe8J261MzuLGb65p85sp7rMHCdf3IVEPsnM5vg+xoAbjaz+51z+8P4WkSkilmz00uutmaWPrk6rVcz7j23N/Nn/BTBnlVBh7Nh/c9eQrX0E9gb3h5hJWra00uq+lwISU0jG1tERI4S0QTLzJoA/8ErfACFV96a71FWEVzNW2EexqvGB/Bn59yGUpQgvsDv+XTn3IwSrn8ebzQxEYgBzsObBliIb+3VWL9T7+dPCyzGkxxJsJKA0/CmFIpINbRqx14ueW4q2zJLVzw0OTGOv4/tyTn9WtbM8utZ22DDtCOPzXMh73Bk7xGXCL3Oh0FXQYv+Kq8uIlKOIpZgmVlH4Cu8Ygr5P8n9k6FIJEZV/n8IMxsD/Np3+APwTClidAB6+p36uKQ2zrkMM/sZr9Q6wNkESbCAEwH/FeahxF5sZmvwimrkx1aCJVINrdy+l4ufm8qOrNIlVyO7N+XvY3vRon7tCPesEtu7A1Z/C6u+8Uaqdq2N3r0atIOBV0H/y6BOw+jdR0REihSRBMvMauOtI2rrOxU4ciWAmdUDnvMdHsQrSFGaxLN/wPGPIbb7kSMJVr8oxM5PsAJjiEg1sGJbFhc/N42de8NLrnq3TGFUj1RO7dWMLqnJUepdJZJz0BuZWvm1l1RtnR/lGxp0HgWDroZOIyFG5e1FRCpSpEawbsMr2x2YWB0GvgF+BpYDmcC+CN2zKvo3R8qm/905t6yUcXoEHK8IetXR/K+rZ2atnHMbi4l9GFhbithdzCzWOZcbYlsRqeSWbc3i0uensnPvoRKvjTE4oVNjRvdIZWSPVJqnVPPRqv0ZsHEmbJwOG6Z7RSoOl8My1NTe0OcCbypgSsuSrxcRkXJR5gTLt2bneo4kV/kjVv8DbnXObSvrPaoDMzuFIxv2zgP+VYZw7fye5wKh1u4NLEfVDghMsPxjb/JVCww3dgJe+fnA2CJSBS3dmsmlz00jfV/JyVVcjPHkJQM4tVezcuhZBcnaCsu/8K2hmg7poX7GFQEpraH3+dD7QkgN/KxNREQqg0iMYA0CGuElWOb782nn3O8jELtaMLMkvCIT4CVEv3HO5ZQhZD2/51lhjBQF7kwZbK6Of+zdYfQplNgAmNk1+JLN1NRU0tLSwriNVAd79+7V33sVsT4zl3/NyGZvCDUYYg1+2y+exJ1LSUtbGvI9qsL7ISF7J413/kyTHT+RsmcJVo71lg7GN2JHk2PZ0eQE9qR0B4uBJdu9RzVUFd4PUr70npCqJhIJVuDmJenAHyMQtzp5gCMjQ48452aWMV6S3/MDYbQLvDZYEhTN2AA45ybgK1M/cOBAN3z48DBuI9VBWloa+nuv/BZt3sPNz08LKbmKj43hmcsGcEr31LDvU2nfD7vWwpKPYfGH3vS/8tSwA3Q/C7qPJaFFf1rFxNCqfHtQYSrt+0EqjN4TUtVEIsHyL1PkgE+dc+H8Yl6tmdlwjpQwX0VkNuGt5fc8nJGwwGtrBbkmmrFFpIpYuGkPl70wjd37S86u4uNi+M/lxzCiaxXeY8k5L6Fa+wOs+9H7c8+G8rt/XG1oNRDaDfUSq6Y9VFpdRKSKikSClf+/b/70wJURiFktmFkd4AWOrEu7OkLJp3+hkMQw2gVeG6zgSDRji0gVsGCjl1ztOVBycpUQF8OEXw5kWJcm5dCzCDuwG1ZMhpVfeQlVZklb/kVQcgtoMwRaHwutB0Oz3hCrz6VERKqDSCRY+ZPA8yekl7wKuua4H+jge/68c+7bCMXd6/e8ThjtAq/NKufYIlLJzd+4m8uen0ZmdskD2AlxMTz/q4Gc2LkKJVd7NsGyT2HpJ7D2e8gry3LYMCSmQIfh0PFk6DACGrQtsYmIiFRNkUiwFgYchz8Bvxoysx7A73yHW4A/RDD8Dr/ndc0s2TkXSkLTPOB4ZwmxA68va2wRqcTmbdjNZS9MIyuE5CqxVgwv/GoQJ3RqXA49KwPnYMcyWPqxl1Rtnl0+97VYaDXIS6g6nQIt+kNMbPncW0REKlQkEqw5eL+U5/8ve0IEYlYHTTkyNbA5sMvCm0+/xu/6dc65dn6vBZbnasvRiW4w/h+Z5uHtTRZoKTDW97xhGMmbf+ytzrnAqoIiUonNWb+LX74wnayDoSVXL14xiOM7VtLkKi8PNs30kqolH0PGqujfs24TaDUYWg/y/mzRH+LDmQQgIiLVRZkTLOecM7MXgT/5Tg00s07OOa3Fip5FAccDCC3BGuD3fG0R68ECY/cHpoQZe3EI14tIJTF7/S5+FWJyVbtWLC9eMYjjOjYqh56F4XC2N+Vv6cew7DPYG+UtGOMSofMo6HoGtDkWGrRTUQoREQEiM4IF8G/g13ijWAY8DJwdodhV1WG8kvWhSqBwifRdeKNMABkB187EKyJR13c8DHg1hHuc5Pc8rYhrvgs4HkYJCZaZJQJDQogtIpXMrHW7+NWL09kbQnJVJz6Wl64YxJAOlSS5ytwCK77wNv1dnQaH90f3frXqQOfR0GOs92dCUsltRESkxolIguWcyzCzK4BJQAxwhpk96Jy7NRLxqyLn3I8cmTZZIt/37yW/UwOcc2uLiH3AzD4HzvOdOs/Mfu+cK/K3CzMbypGCGwATi4i93sxmAcf4Tl1uZvc454rbVfN8oHZJsUWkcpm1LoNfvTgj5OTq5SsHM7h9wxKvjZq8PNgyB5ZPhuWfw5a50b9nShtodwJ0PQ06jYT4uiW3ERGRGi1SI1g45z4zs8uBl4F44GZfoYcbikoUpExe4EiClQLcDNwb7ELzFnPd5XdqPfBVCbHzE6zOwCXA/4qInQDc5ndqqnNOUwRFKrmZazP41YvT2Xcot8Rr68bH8vKvBzOoXQUkVwd2w6pvYMWXsPJL2LejxCZl0qAdtB3q7UfV7gSo3ya69xMRkWonIgmWmeX/D/QT8EvgabwNiMcAK3yjLV/hFcTYSeFS4GFzzq0vS/vqwJfQTuHItL87zWyOc+7TIJffA4z0O77TOVdcOf3ngfFAJ9/xE2a23Dk3w/8iM4sDJgA9/E7/OZyvQ0TK3w8rdnLtazNDSq6SEuJ4+cpBDCyv5Mo52LnCK6W+YjKsnwqu5H6WWkwt6DAMup3hTftLaRW9e4mISI0QqRGstRzZByufw1uPFQuc7ntEgiOCI29V3DV4SW1DvFHDSWb2BvAB3vqv9sCVwIl+bSYBrxUX1Dl32MyuxEuKE4AGwBQzewH4Em+Pq67AtUBfv6ZPOucC13CJSCXgnOPnVek8+e1KfloV2vLQpIQ4Xvn1YI5p2yCqfbO8XFj7o5dULfss+lX/4pO9AhXdzvD+TEyJ7v1ERKRGiWSiEqx8kivmNSkj59wyMxsLfIiXZMUCl/kewXwDXOycyyvidf/YP5jZpXjFM+oAicBvfY9gXgduCu8rEJFoc87x7bLtPPHNSuas3x1yu+SEOF65ajAD2kQpuXLOK0wx702OX/wJTIny3uR1m0K306HbmdD+JIhLiO79RESkxopkglVcEYTiXguHErUAvkSoF/AQMA5vxCnQRt/rj4eSXPnFnmhm84FH8aZ7BtslcwXwd+fcf8Ptu4hE19dLtvHQ5OUs3pIZVrvkhDhevWow/aOVXO3ZCB/+1kuwgFrRuQs07Ajdz/SSqpYDISYmWncSEREpEO0RLAmRc+5lvAIhpWm7BbjEzFL4//buO06Ouv7j+Otzl14hpJFCCiEJgUAS0pAWqdJBBAFBwKBYURAVfiiCBUVEURQVUKnSewfR0CEJkAQSUggkpJIASUgj5e7z+2PmzNxkd2/L7N7u5f18PPbBzne/85kvO3Ob/ex8C4wDegHtgQ+AWcDLDcwCmCn2HIJZIbsSjPfqSXA3awnwlru/nk9cESme2lrn0oenc/PL83Pet32rZtwyfgzDem+XfMPc4c274dELYEMR1iK3qmCR34GHBbP+dRmstalERKTkkkqwbkoojhTA3VcRdBcsRuxlwD3FiC0iyamtdX507zTufm1hzvt2aNWMW88ewx69tku+Yes+hkfOgxkPJBu3ZUcYcBAM/FwwjXrbMlmjS0REtllJrYN1VhJxREQkfzVhcnVPHslVx9bNuXX8GIb2KsKED3Oehge/DWuWJhOv8yAYeGgw699Oe0N10ToZioiI5Eyz8YmINAGFJFf77dKZy48fSu9ObZJr0IbV8M4zMP3+wu9aNWsVTEyxy6HBrH/b902ihSIiIkWhBEtEpMLV1Do/vGca976eW3J10OCufOvAAcnNFLh6aTDN+qzHggksajItt9eAdt1h0Odg4OFBctUiweRPRESkiJRgiYhUsJpa5wf3TOW+1xdlVd8Mjhi6I98aN4AhPToU3oCN62D6ffD6zbDg1cJidds9mJxi0OGw43DN+iciIhVJCZaISIV6Z9lqfvvkbJ6Ynt3YpnGDuvDjI4cwoGu7wg/+4RyY/A+Ycht8WtiMgOtbdaP1KTdCn88U3i4REZFGpgRLRKSC1NQ6/5m5jJtemscL73yY9X6H796dP54ynObVBdwVqtkEMx+FyX+H957LP07U8NOZ3PYI9lNyJSIiTYQSLBGRCrBq3SbunPw+t7wynwUfr89p34KTq08Ww2s3wWs3JjcTYNsucPQfYfAR1EyYkExMERGRMqAES0SkzD04ZRGXPDidVes35bzvEUO784eT80iu3GHe8zDx+uCuldfkfOy0Bh8FR/8B2nZOLqaIiEiZUIIlIlLGbnj+XX7x6Nt57Xvk0B25+uRhuSVXn66CqXfApBvgw9l5HTetHYfBvufBkGOD2TZERESaoLQJlpn9J0Wxu/tBWdYtlpRtEBFpaq5/7l1++ViJkqsPZsCk62HqnbBpbV7H3IpVQ999YNCRwcyA2/dJJq6IiEgZy3QHaxzgkW2LbWeqWyyZ2iAi0mRc99xcLn9sZl77Hj+8J1d+YQ+aNZRc1WyCtx8O7lbNfzGvY22luiUMPCzoBrjLIdCmUzJxRUREKkQ2XQRzSWqK2edDiZWIbBPyTa4GdG3HuQftwtF77Ihl6oK39qPgbtXkfyY3acX2/WDkV2D4aUqqRERkm5ZNgpVLYqMkSESkAH97di6/ejz75MoMDhrcjTM/05d9BuyQObH6ZAm8/Kdg/apN6wpvrFXBoCOCxKr/Z7UwsIiICJkTrPfJPmHKpa6IiKSQS3LVsXVzvjiqN6eP7UPvTm0yV14xH168Gt64FWo2Ft7Qdt1gxJdhrzOhY6/C44mIiDQhaRMsd++bbZBc6oqISH1vLVrFb5+axYRZy7Oqv3vPDtw6fgzbtWmRueKyt+HFP8K0O5OZZr3PvjBqfDC+qlkDxxYREdlGaZp2EZFG8u7yNVz19GwenbYk630aTK7Wr4S37oUpt8Gi1wpvZIv2sOfJQWLVddfC44mIiDRxGRMsM4v+5LnS3XcocntERJq8xSvX84d/z+Ge1xdSU5t97+q0yVVtDbz3LLxxG8x8BDZ/Wngju+wKo8+GPb4ILdsXHk9ERGQb0dAdLEvzXEREclRb6/ztuXf5/b9ns3FzbU777t6zA7eNH0vHNs23FK5ZDq/fCK/dBKsWFN5Aq4Zdj4bRX4U++2gxYBERkTxkO4ug/pUVESlAba1z8QNvcvvE3BOhoT07cuv4MVuSq0Wvw8Trgq6ASUxa0bYrjDwrmLSiQ4/C44mIiGzDNAZLRKTIamud/7v/Te6YVEBy1cJh2t0w8W+wcFIyDeu4E+z7PRj2JWjeKpmYIiIi2zglWCIiRVRIcnX0nj24/OAdaP/Kb+C1G2HtsmQatcMusN/5MPREqG7ecH0RERHJmhIsEZEiqa11LrrvTe6cnFtyNbrv9vx8z5UMWvB7uPaRZKZYB+g2FPb/Pux6DFRVJxNTRERE6lGCJSJSBLW1zoX3TeOuyQuz3mdkj+ZcvvMMdpl3B/bk28k0pFlrGHJM0A2w3/6auEJERKTIlGCJiCSsttb50b3TuPu17JKrXTq35OoBUxgy+y/YpA+TaUTvMUFStdtx0KpjMjFFRESkQUqwREQS4u5MmLWcq/89m6kLV2WzBxfs9A7f3HwLVVPeKbwBbTrD8NOCR+ddCo8nIiIiOVOCJSJSoNwTK9jT3uHKjnczcNmbhTegxwgYcw7sdjw0a1l4PBEREcmbEiwRkTxtqqnl+TnL+cO/52SVWLVgE3tXzeDE6mc5qvoV+LSAg1c1DxKqMedAr5EFBBIREZEkKcESEcnSirUbef39Fbw2fwWT569g2sKVfLqpNuM+27Gaz1ZN4ZDq19i/ahrtrJCsCmjXPVwU+Cxo362wWCIiIpI4JVgiIinU1jrvfriG1+av+N9j7vK1We3bjM0cX/0CJ1Q/z0ibRTPLnIRlpc++MPpsGHyU1q4SEREpY7kkWK3M7JKitSQH7v6zxm6DiDQtNbXOa/NXMGnex7w2fwWvv7+Cles25RjFOaLqVS5odhf9q5YW3qjmbWHPL8Kor0K3IYXHExERkaLLJcFqCfy0WA3JkRIsEUnEhs013PPaQq7971wWrVyfd5y9q6bzo2a3M6zq3cIb1awV7P1t2OdcTbEuIiJSYXJJsMpldUpv7AaISOXbsLmGuyYt4C8T5rJ4Vf7joobYPH7U7A4OqJ6WQKsMhp0Kn70YOvZMIJ6IiIiUWi4JVjkkNuWS5IlIhfp0Uw13honV0k9yS6yMWvrbEvaqms1eNoeRVbPYuWpJMg3b+UA45GfQfWgy8URERKRRVOIdLBGRvDw6bQk/e2Q6H3yyocG6zdlMP1vCIFvAwKqFDLH5jKiaw/a2JtlG9RgOB/4YBhycbFwRERFpFLkkWBuB24vVEBGRYnF3fv/vOfzxmTlp6/Sy5RxR9Qp7VL3LQFtIP1tKc6spToN6joTBR8CgI6HLIDD9fiUiItJU5JJgrXP3s4rWEhGRImgouerJcs5tdj8nVD+XzHTqqVS3gP6fDZKqgYdr/SoREZEmTOtgiUiTlSm56sIKvtXsQU6tfoYWxbpTZVUw/DQYdxF06FGcY4iIiEhZUYIlIk1SuuRqO1bz9WYPc0b1U7S2jcVrwOCj4KBLgi6AIiIiss1QgiUiTU795Mrpa0vZt+ot9q+axj5Vb9HWGp7kIm999oGDL4Peo4p3DBERESlbSrBEpElxd/705FTmPHcflzd7k/2q3qR31fLiHrRtF+i7b9AdcOeDNGmFiIjINkwJlog0GYuWLmH6PZdz5vK7ad9ifZGOYtBtN+g9GnqPCf67fT8lVSIiIgIowRKRJuCD5R/y5r2/YtSS2znU1ia3al/LDtBlMHTdFboOga6Dg3WrWnVM6AAiIiLS1CjBEpGKtezjj5ly71WMWngTB9vqZBKrzoNg/x9An72hQ0/dmRIREZGcKMESkYqz8pNPmHjv7xk27x8caiuTSay27xtMpz70RKiqTiCgiIiIbIuUYIlIxVi3fh0T77uGwXP+xqF8lExi1aFncMdq+GlQ3TyBgCIiIrItU4IlImVv48aNTHrwWvpO/zPjWJZARIOeI2DPU2D46dC8VQIxRURERJRgiUgZ+3T9WqY9dTM7TvkD+/iSgmLVduhF1YCDYOfPQr8DoE2nhFopIiIiskU2CZZGeBfIzFoB+wCfBUYAuwJdgBbASmA+8Apwl7s/n+cxBgNfBg4DegMdgKXALOBu4E53X51n7JHA6WH7ewKtgcXAW8CdwH3uXsSVW2VbsmnjBt5+8SE2TLmbXVc+x2jLf7r1j207Ptjtqwwe90WqdhigCStERESk6BpKsPpFntcWsyFNkZl1A64GjgLapanWJXyMBL5tZq8AX3H3t7M8RjPgp8BFQHxkfp/wcSjwEzM7093/m0P72wK/A76W4uWdw8exwFtmdpq7T802tkhUzebNzHz1Sda8ficDP/oPexD+FpBnPrSK9iwY8jV2PeZ8OrVK96cnIiIikryMCZa7zy9VQ5qo3sDJKcoXAouAdQR3hAZGXhsLTDKzw9z9xSyO8XeCO1d1HHgb+JAgQe4dlu8EPGVmR7r7Uw0FNbPmwEPAgZHiTWHsVWGbu4XluwPPm9l+SrIkF+++9SrLXriJ/ksfZzc+Ljjeatowf+BXGHzcD9i9zXaFN1BEREQkRxqDVTovAjcCT7j7wugLZtYP+CVwSljUFnjIzAa5+4fpAprZ+dRPrp4Dznb3OZE6h4TH7UFwvu82sz2ySJ6von5ydS/wXXdfFMatAk4EriPojtgeeMTMhuTbFVG2DR8snMvaKXfz7nPfpX/tPPonEHMtrXhv59MZeNz/sXt7ja0SERGRxqMEq7hqgQeAy9x9SrpK7v4ecKqZLQHOD4s7EXT7+36qfcxsB+CSSNEbwKHxsVDu/rSZ7Q9MIeim2AH4OfUTs3jsQcA3I0WPACe6u0fi1gJ3mtkCgsSuGugF/CDWLhEApr/4KLXPXclun07hSPOGd8jCelowq/fJDP7CT9i9Y9dEYoqIiIgUoqqxG9CUufvr7n58puQq5iKC7oN1vpCh7reBjpHtc9JNNOHucwmSqjpfMrO+GWJfyJbxXJuAr0eTq1jslwjuYtU5z8zaZIgt25jVqz5m4h++xG5Pn8rQDW9QlUBytcGb81r3k9n0rTcYNv4aWim5EhERkTKhBKuMuPtG4PFI0U4ZkpUTI88nuvukBsLfAHwaPq8CTkhVKRx7dWyk6P66boEZ/CnyvB1weAP1ZRvx1gsPsfb3oxm94pFE4m30aiZ2Pp4150xir6//jQ5deiUSV0RERCQp6iJYfj6KbXcgmAzjf8ysP7BbpKjBb6/u/rGZvUww1TrAMQTjrOL2A7bPMfYMM3uPLbNOHkMwZku2UevXrmbajd9jzPJ7Eon3TvXOfNj3KPofeBaje/ZreAcRERGRRqIEq/z0jTyvJZgNMG54bDub2Qbr6tUlWMPS1Ckkdt0333gM2YbMnPg0bR8/lzG+uKA486t6sbjXkfTc91QGDBzGgITaJyIiIlJMSrDKiJm1Bo6IFE1y980pqg6Jbc9JUSeVaL0OZtYrPqNhLPYmYF4esQeaWbW712S5rzQB82e+zrLHf8WIlU9Tnec4q6V05r0dj6DrZ75E/91G06dKvZhFRESksijBKi/nEnQJrHNLmnp9I89rgGxvFcSnZu9L/Uk14rEXhbMF5hq7JbBjitjSBL0z9UU+eerXDFvzPH3Mc14ceLW35u1OB9J21GnsOuYwulfH18sWERERqRxKsMqEme0OXBopmgtcn6Z6NAlbncOdolWx7fYNxF6ZZdxsY0sTMvPVp9jw39+w56fh/Co5JlbTWu3Fpj1OZ7fPnsTo1m2Tb6CIiIhII1CCVQbCNa3uB1qFRTXAmeGsgqm0izxfn8Oh4nVTJUHFjA2AmX0N+BpAt27dmDBhQg6HkcZSW1vD6iWzaLVkIgPWTGYwC/KKs8rb8nSXM9lhyMFYVRWvvNrQBJjS1K1Zs0afA/I/uh4kTteEVBolWI0sHHf1INQbw3+xu7+QYbfmkeepxmilE6/bPEWdYsYGwN2vI1w7a+TIkT5u3LgcDiOltG7NKma99DCbZjxK/5Uv0Tmnm5pbm9p6ND1Ov57Os+eh8y51JkyYoOtB/kfXg8TpmpBKowSrEZlZC+A+YJ9I8Z/c/YoGdl0bed4qba2txeuuTVGnmLGlQqxbs4qpd1zK0AW3M9xyuZGZ2hpvzYw9LmTU8ediVVUwe17hjRQREREpQ0qwGkm4oO/dwOcixdcTTHTRkDWR5+kWIk4lXnd1iWNLmfPaWt54+jZ6vHwZe7M853FVqbzVchg7nHodo/sMKjyYiIiISJlTgtUIzKwZcDvBgrx1/gGc4+7ZzG+9PPK8rZm1d/dsEpodY9up1tiKxo7XLzS2lLGF77zFR/d8jxGfJjMm6p3qnVk9+rsMO+T04K6ViIiIyDZACVaJmVk1cBtwQqT4RuCrWSZXADNj232At7LYr0/keS0wO03sY8PnnXJI3qKxl7p7fFZBKVOfrlvDlH9dwogFN9HLchl2l9rbzYew8TPns8cBJyixEhERkW2OEqwSCpOrW4GTIsU3AeNzWG8KYHpsewTZJVgjIs/nuXuqwTXx2MOB53KMPSOL+tKI1q9dzayXH2HjjEfp//HzjGVlwd0B32w5nKoDfsiQsZ9TYiUiIiLbLCVYJRImVzcDJ0eKbwa+kmNyBTCZYBKJusWDDghjNWT/yPMJaeo8G9s+gAYSLDNrBYzJIrY0omWL3uO9l+6l1btPMWjd6wyzTQXHXEF73um4Dx32O4ehIw9MoJUiIiIilU0JVgmYWRVBN8BTI8W3AGflkVzh7uvN7Am2dDM8wcy+4+7rMrRhX6B/pOjeNLHfN7PXgL3CotPN7BcNdF/8AtC6odhSWl5by7vTJ7Js8v10XvQMu2yeQ9e6Fwu4WzW/qhdLuh5Ah2HHMHCvAxnVvEUSzRURERFpEpRgFVmYXP0DOC1SfCvBQsI5J1cRf2dLgtUROA/4ZZo2GPDTSNH7wL8biF2XYO1CkBjeliZ2S+CiSNEr7q4ugo1k44ZPmfXq46yb9jB9PnyOnVnOzgnEXUVbZvQ7i177nEyfAUPrDbgTERERkS2UYBVRmNj8DTgjUnwbcEaByRXu/riZPceWbn+XmNkb7v5Yiuq/AA6ObF/i7hszhL8BOJ8tix9fY2az3b3e9HLhbIjXAUMixRfm8v8hyZny9L/o+tKlDPUPEo07cbsjGHDqb9m7a89E44qIiIg0RUqwiutE4OzItgPdgMeC3CsrP3T3aWle+xrwEtAJaAE8ZGa3Aw8AHwH9gLOA/SL7PETQPTEtd99kZmcR3OVqCWwPPGdmfweeJljjahBwDrBnZNc/uXt8DJeUwMv//BF7z/9rojHnVvdn0+euZPSogxuuLCIiIiKAEqxiiy++a9S/k5SNX6d7wd1nmdmxwIMESVY1QVfE09Ls8h/glGzunrn7C2b2JYLJM9oArYBvhY9U/gV8t6G4kiyvreWVf/6AvRfckFjMT2jD27t+l5EnXEB1M31EiIiIiORCcylXOHd/AdidYOHiDWmqLSQYo3VIpokwUsS+FxgGPAbUpKk2Bzjd3b9UaLdHyY3X1vLKDd9LLLlaYD14uedZbPrGJMZ88UIlVyIiIiJ50DeoInL3GwlmDyz2cZYAp5pZR2Ac0AtoD3wAzAJezmER43jsOcCRZtaVYLxXT4K7WUuAt9z99cL/DyRXXlvLq9d9m72Xppx7JCubvYrZLXfjk50Oosfo49lp4DB6J9hGERERkW2REqwmxN1XEXQXLEbsZcA9xYgtufHaWl796zmMXXZXzvuu9tbMbj8GH3g4u+xzPEN26FaEFoqIiIhsu5RgiVQQr61l4rXjGfvhfVnvs5QuzO9yAG2GHsOgMYexV8tWRWyhiIiIyLZNCZZIBaitqWHKv/9Fh4m/Z0zN3Kz2mdlsV5ofezX9dxtN9yoNtxQREREpBSVYImWsZvNmpjx1E50m/4ERtfOz3m9G893Z6TuP0K7D9kVsnYiIiIjEKcESKUObN21kyuP/oMuUP7FX7YKc9p3eYg/6nfsIbdp1LFLrRERERCQdJVgiZWTTxg1MeeSv7PjmXxjpS3Le/82Wwxlw7sO0btu+CK0TERERkYYowRIpA5+uX8vUh/9MnxnXMYrlecWY1moUA899gFZt2iXcOhERERHJlhIskUa0bs0qpj34B3ae8w/GsCLvOFNbj2HQuffTqnXbBFsnIiIiIrlSgiXSSKb+5w56PvcjxrIy7xi1bkzs/kVGfOUPtND06yIiIiKNTgmWSCOYeO/VjH7zp3nvX+PGGx0PpsuRP2bsoGHJNUxERERECqIES6TEJt33B0ZOuxQs9303eTVvbH8YPY66mJEDdk+6aSIiIiJSICVYIiU08f5rGDn1p1SZ57TfRq/mjc5H0fvoixndd1CRWiciIiIihVKCJVIikx74MyOn/CSn5OpTb87UrsfS55iLGNN7QBFbJyIiIiJJUIIlUgKTH/oLe71xcdbJ1TpvybQdv8CA4y5kTPeditw6EREREUmKEiyRIpv80F8Z/tpFWSVXn9CGGb1OYfBxP2Rs5+4laJ2IiIiIJEkJlkiR1NbUMPGOXzJq9u+oziK5er+qJ23OfpyxPfqUoHUiIiIiUgxKsESKYOmCd/jw1vGM3TAlq9kCF1gP2pz9OJ2VXImIiIhUNCVYIgny2lpee+Q6Br5+GbuzLqt9FlgPWn1VyZWIiIhIU6AESyQhqz76gHf++TVGrpmQ9T4LbUdanv0YXXr0LVq7RERERKR0lGCJFMBra3l/1hssnngvO793O3vxcdb7LrTuNB//KF179itiC0VERESklJRgieRo86aNzJ78DJ9MeZBeyybQx5eQa+e+RdaNZl95lG69di5KG0VERESkcSjBEsnS4nmzWPDIFQz88CmGsDrvOHOr+9P2zLvproWDRURERJocJVgiDVgwZypLH/0Vw1c8SQ+rzTtOrRuv9jidEWdcQctWbRJsoYiIiIiUCyVYImm8N/1VPn7i1wz75L/0Ns9quvV0FltXVn7uGvYe+7nkGigiIiIiZUcJlkjMnCnPs+apXzF83Yv0g4ISK4CJ2x/JkLP+TI8O2yfRPBEREREpY0qwREIzXn6czc/+lj0+nZxIvI/pwPzP/IrRh56WSDwRERERKX9KsGSb5rW1THv2Xlq89HuGbJqeSMx13pI3uxzFzl+4jOHdeycSU0REREQqgxIs2SbV1tQw5amb6TD5GvasmVtwvOVsz7s77E+r3Y9m0NgjGNO6bQKtFBEREZFKowRLtimbNm5gymM30HXatYyoXVhQrAXWg4U9DmOHvY5nwJ770qW6OqFWioiIiEilUoIl24RP169l6sN/pvfb1zPKlxUUa251P1aN/C57HnI6vZvpT0hEREREttC3Q2nS1q5eyZsPXs3O79zIGFYUFGt2s4GsG3s+ex74RayqKqEWioiIiEhTogRLmqQ1n6zgzfuvZPB7NzOW1QXFmtF8d2r2u4Dd9z1WiZWIiIiIZKQES5qU1as+5q37rmDX+beyN2sKijWt1SiajbuAIVocWERERESypARLmoRVKz5kxv2/Ybf3b2Vv1uYdp9aNKe32o/0hP2SPYfsl2EIRERER2RYowZKKteaTFcx+6UFq3n6UwSufZ29bn3eszV7FG9sdQtfDL2TE4BEJtlJEREREtiVKsKSiLF88j3dfuJtW7z7JruvfYIRtDl6w/OJt8OZM6XwkvY+6iFH9BifXUBERERHZJinBkoqw9P05LL7zPEasfZ4udYV5JlUA67wl07p/ngHHXsSYHn2SaKKIiIiIiBIsKX9vv/okOz32ZUbYpwXH+oS2zOh1MoOP+yFjO3dPoHUiIiIiIlsowZKyVpdctS0wuVpJO2b2PYPdjr+AsR07JdQ6EREREZH6lGBJ2UoiuVpBB2b2P5Ohx53P2A7bJ9g6EREREZGtKcGSslRocvUxHZi981kMPe589m6/XbKNExERERFJQwmWlJ1Ckqv3qvrywc4nsMex32Vsu45FaJ2IiIiISHpKsKSs5JpcbfJqZrUaypq+h7LT2BPo128w/YrcRhERERGRdJRgSdnIJbn6hLbMGv5jBu53Irt36tJgfRERERGRUlCCJWVh5qtP5ZRcfXDsHYwavn8JWiYiIiIikr2qxm6AyMyJT9P7sdNzSq52UXIlIiIiImVICZY0qk/XfkKvR5VciYiIiEjToARLGlWLVe/RztY3WE/JlYiIiIhUAiVY0qiqqG2wjpIrEREREakUSrCkQWa2k5ldbGavmNliM9tgZgvM7Fkz+66ZFW0aPyVXIiIiIlJJNIugZGRm3wGuAFrHXuoVPvYHLjGzb7j7XUke+xPaKLkSERERkYqiO1iSlpn9HPgj9ZOrOcCzwNxIWSfgTjM7K6ljf0Iblh6j5EpEREREKosSLEnJzD4P/DhSNAPYy90Huvs4dx8AjALejtS5zsxGF3rs1d6apcfczsARBxQaSkRERESkpJRgyVbMrAVwZaRoIbCvu78erefuk4F9gUVhUbPYfjlb7a1ZfPS/GDhiXCFhREREREQahRIsSeUUoH9k+3x3X5Gqort/DJwfKdrfzPLq17fGW7Po6NsYNPLAfHYXEREREWl0SrAklRMjzxcD9zdQ/z5gSZr9s7LGW7PwqFsZPPKgXHcVERERESkbSrCkHjNrDRwcKXrC3Tdn2id8/YlI0TG5HHOtt2LhkbcweNTBDVcWERERESljSrAkbgjQMrL9Ypb7RevtZGadstmplioWHHELg0cfkm37RERERETKlhIsiRsS256T5X7xevE4KW3s2I/BYw7N8hAiIiIiIuVNCZbE9Y1tv5/lfvMbiJNSq7YdsgwvIiIiIlL+mjV2A6TsxDOelVnutyq23T5dRTP7GvA1gG7dujFhwoRs2yZNxJo1a3Te5X90PUiUrgeJ0zUhlUYJlsS1i22vz3K/eL20CZa7XwdcBzBy5EgfN25c1o2TpmHChAnovEsdXQ8SpetB4nRNSKVRF0GJax7bzjiDYIZ68TgiIiIiIk2eEiyJWxvbbpXlfvF68TgiIiIiIk2eEiyJWxPbbpPlfvF6qxNoi4iIiIhIRVGCJXHLY9s7ZrlfvN6HCbRFRERERKSiKMGSuJmx7T5Z7hevF48jIiIiItLkKcGSuOmx7RFZ7hettxF4J5nmiIiIiIhUDiVYUo+7LwDejRQdkOWu0XovuHtNcq0SEREREakMSrAklfsjz8eZ2U6ZKoevRxOse4vSKhERERGRMqcES1L5J1AbPq8CftJA/UvYci2tBu4qUrtERERERMqaEizZirtPB26NFJ1tZmenqmtm5wDjI0VXubtmEBQRERGRbZK5e2O3QcqQmXUFXgH6RYofAu4AFgM9gVOAoyKvTwLGufu6HI6zHJhfcIOl0nRGU/nLFroeJErXg8TpmpCoQe7evrEbkYkSLEnLzAYDTwIZx2CFpgGHuPuy4rZKmgIzm+zuIxu7HVIedD1IlK4HidM1IVGVcD2oi6Ck5e4zgaHAX4A1aap9BPwCGKXkSkRERES2dc0auwFS3tz9E+CbZvZ9YBzBgsLbE9yqnws85+6bG6+FIiIiIiLlQwmWZMXd1wOPN3Y7pMm4rrEbIGVF14NE6XqQOF0TElX214PGYImIiIiIiCREY7BEREREREQSogRLREREREQkIUqwREREREREEqJJLkQkK2bWCtgH+CwwAtgV6AK0AFYSLBj9CnCXuz+f5zEGA18GDgN6Ax2ApcAs4G7gTndfXdD/iJSMmd0GnBor7ufu83KIoWuiQplZc+AQ4PPAaKA7wSy064D3gSnAs8B/3X1uljF1PVSY8N+OzwNHEfzb0R1oR7D8y1LgDeBR4N5wQq1cYu8EnA4cTbBm5w7AMuBd4D7gX+6+PJn/E0nFzDoQnNe9gJHhfwcAFlZ51t3HFXiMop3nYn2maJILEcnIzLoBVxP849guy91eAb7i7m9neYxmwE+Bi4DqDFXfB8509/9m2Q5pJGZ2DPBgipeySrB0TVQ2MxsHXEvwQ0xDFrl7rwbi6XqoQGZ2JPBXIOP5DS0GvuHuD2UZ+zvAFUDrDNU+DmPelU1MyY2ZzQJ2YUsylUpBCVaxznOxP1OUYIlIRmY2EpiU4qWFwCKCX6N7AgNjr68FDnP3F7M4xk0EvyDVceBtgvXW+hH8qlRnM3Ckuz+V7f+DlJaZbQ9MB3ZM8XK2CZauiQplZt8Dfh8rXknwa/MKoD3BL9ydwteySbB0PVQYMzsNuIn6w1HWE3w2rAK2A3YDWkVed2C8u/+zgdg/B34cK55DkKT1AnaOvfaVhmJK7swsmyQi7wSrmOe56J8p7q6HHnrokfZBcMvfw8cLwNlArxT1+gH/itR14COgcwPxz4/t8yywS6zOIQTJXF2dVUCfxn5v9Eh7Tm+KnKsnY+e3bxb765qo0Afwndi5e56gW3F1irq7hOf6KV0PTetB0I1rbeR8rAPOBVrH6rUBziNIvKJ1+2eI/fnY9TAdGBGrMxKYEamzCRjd2O9LU3tE3t9Pwr/L3xF0C3898tqEPGMX7TyX4jOl0U+OHnroUd4Pgr7V9wPDsqx/VeyD66oMdXcg+GW7ru7rQMs0dXcGVkfq3tzY740eKc/TEZFz9AhwZux66NvA/romKvQB7A5siJyP3ycQU9dDBT6AX8b+7k9ooP5JsfpXpKnXApgbqbcA2D5N3U4EPS3+9yW6sd+XpvYIk6lBhD3iIuUTIu/7hDziFu08l+ozRbMIikhG7v66ux/v7lOy3OUigg+7Ol/IUPfbQMfI9jnuviFNO+YCP48UfcnM+mbZJikBM+sIXBdurga+kUcYXROV6waCL0YAT7j7eQnE1PVQmQ6IPJ/h7vdmquzB2JnomN1901Q9Begf2T7f3VekifkxwZ2KOvub2f6Z2iG5cfd/ufssD7ORBBXzPJfkM0UJlogkyt03Ao9HinYyszZpqp8YeT7R3VON9Yq6Afg0fF4FnJBfK6VIfkcwHg/gQndfkEcMXRMVyMz2AcaEm07QHSwJuh4qU9fI82lZ7hOt1zlNnej1sJigd0Um9wFL0uwv5auY57kknylKsESkGD6KbXeIVzCz/gQDnOs80lDQ8JeqlyNFx+TVOkmcmR0GfCXcfAH4Sx4xdE1UrnMiz19w9zmFBtT1UNGi01q3Slurvmi9re5WmFlr4OBI0RPuvjlTwPD1JyJFuh7KXDHPcyk/U5RgiUgx9I08ryWYlSdueGy7wdkGU9Qbln2TpFjCdVCuDzc3AGfn2WVE10Tl+lzk+dMJxdT1ULleiTz/jJm1SFsTMLOWwGciRc+lqDYEaBnZzud62MnMOqWtKeWgmOe5ZJ8pSrBEJFHhr09HRIompfn1aUhsO9tfvKP1OphZNuurSHFdyZYpbX/m7rPyjKNrogKZWT+CRcfrTAvLe5rZT8zsNTP7yMzWm9kCM3vczL5rZu0bCK3roXL9hWBqawi6C/6ygfq/Yss1tAb4U4o6SVwPqeJIeSnmeS7ZZ4oSLBFJ2rnU7xJ4S5p6fSPPawj6WWdjfoY4UmJmdhDwtXBzKvCbAsL1jTzXNVE59oxtLzazMwgmLfgZwUyknQi6gPUiuNt1NfCemZ2UIW7fyHNdDxXE3d8imLK/Jiy6wMweNbPDzKyTmVWH/z3czJ4gmKodgq6FJ7r7+ynC9o1tp6qTiq6HytI3tp3keY6WFfUzpVmWgUVEGmRmuwOXRormsqXrWFw0CVvt7jVp6sWtim039Cu4FImZtSMYAAzBP1ZnN9RXvgG6JipTfEKCzwMXRrYXEnwWtCSYyr1dWL4DcKeZdXP3a1LE1fVQwdz9r2Y2jyCZHkTQs+GINNVrgMeAi9x9epo68bG8K7Nsiq6HylLM81yyzxTdwRKRRJjZDgQz/dQNVK4BzgxnFUylXeT5+hwOFa+rfywbzxVs+SXv9+4+ucB4uiYq03ax7brkaiawv7v3dvdx7r43QTJ2LsFYvTq/M7PPsDVdDxXO3Z8ADgUeaKDqv4FrMiRXUP96gOyvCV0PlaWY57lknylKsESkYOG4qweBAZHii939hQy7NY88z+WuR7xu85S1pKjMbBxb1rmaC1ySQFhdE5Up1Sxx84B93f35aKG7bwjvVkXXx2sGXJ4ihq6HCmZm7czsLwSfD8eFxRuBN4BngEnAurD8MOApM3vWzHrHY4Xi5zHba0LXQ2Up5nku2WeKEiwRKUg4O9R9wD6R4j+5+xUN7Lo28jzbaXxT1V2bspYUTbiu2d8BC4u+6u65/BqYjq6JypTq/T7f3ePLNfyPuz8C3BMpOsDMBsSq6XqoUOEEJv8Bvk6QQK8jGGfVyd1HuPvB7j6a4O7nGWyZaXZ/4Hkz654ibPw85jP9e6o4Ul6KeZ5L9pmiBEtE8mZmzYG7qT9F8/Vkt8jomsjzdAsRpxKvuzplLSmmXwP9w+c3uPt/E4qra6Iyxd/vVcBDWex3U2x7XGxb10PlugoYFT7fCBzq7le7e70vpu6+yd1vJviBrm7tqz7AtSliroltZ3tN6HqoLMU8zyX7TFGCJSJ5MbNmwO3UX3TvH8A5Wa6BtDzyvG0WUzbX2TG2nWqNLSkSMxsCfDvcXAL8IMHwuiYq0/LY9htZDh5/Lba9c4a4uh4qhJn1AM6KFF3v7hnXG3L32QRTtdc5LlwUNip+ncXPczq6HipLMc9zyT5TlGCJSM7MrBq4DTghUnwjQVexbBeYnRnb7pPlftF6tcDsLPeTZHRlS9fAHYEVZubpHsA/Y/u/F3l9Xuw1XROVaUZs++Ms94t/SYkvDKrroTIdSP1Zqu/Pcr8HIs8NOCD2ehLXQ6o4Ul6KeZ5L9pmiBEtEchImV7cC0fVrbgLGu3ttDqHis0WNyHK/aL15CY39kfKga6IyzaX+LFsts9wvPq4hft50PVSm+CQVC7LcL77eUXwcVhLXw0bgnSz3k8ZRzPNcss8UJVgikrUwuboZODlSfDPwlRyTK4DJ1B8oGv+1Mp39I88n5HhMKdwm4KMcHvH+9Csir8XvdOiaqEDh3/6zkaJ416504vWWxrZ1PVSmDbHt1lnuFx/nsi664e4LgHcjRdleD9F6L+Sw9pE0giKf55J9pijBEpGsmFkVQTfAUyPFtwBn5ZFcEf4C9ESk6IRwdrpMbdiX+l/K7s31uFIYd3/R3Ttn+wC+EwsxIvL6iFhsXROVKzoj4GAzy6brzWGx7ZeiG7oeKtbi2PboLPeL11uYok60u+E4M9spU8Dw9eiXaF0PlaEo57mUnylKsESkQWFy9Q/gtEjxrQQLCeecXEX8PfK8I8E0vunaYMBPI0XvEyxOKU2LronKdA9b7kgacHGmymbWkfqzjS4FXk5RVddD5ZkARMfinhvOOJtWeO4uiBTF74rW+Wf4GgTfYX/SQFsuYct33dXAXQ3Ul/JQzPNcks8UJVgiklH4AfM3grVK6twGnFFgcoW7Pw48Fym6xMyOSFP9F8DB0bruvrGQ40v50TVRmdx9FfCzSNFXzSx+9xIAM2sL3An0jBT/yt03pYir66HCuPtS4JFI0e7AbenuFIQz0l5D/XN3n7tvNVObu08n+HGvztlmdnaauOcA4yNFV6WKKeWnmOe5VJ8plv2EXyKyLTKzkwi+DNVx4Bkgl37sP3T3aWniDyLoGlQ3g1gNwfTvDxCM0+lHMOXvfpHdHgKOLzTBk+IzszOpP5NgP3ef18A+uiYqUPhF+RHqd/37L8EPMnMJJr8YSbD4bK9InceBo9KdO10PlcfMBgKvEiwkXGcRQTfzVwnGYrYnmDzgDGCXSL2PgFHu/l6a2F2BVwjOe52HgDsIuif2BE4Bjoq8PgkY5+71xnVJYczsx8CPU7zUgi2zzTrBpBNxt7j7VzPELtp5LsVnihIsEckoxRfkfHzW3SdkOMa+wINsPU1zKv8BjtY/lJUhnwQr3E/XRAUys3YEX0Q+m+UuDwNfcveMC3fqeqg8ZjYWuI/s1zGCIAk73t0nNRB7MPAkkHFsTmgacIi7L8uhHZIFM7uU+l3ocnGTu5/ZQPyinedif6aoi6CINDp3f4GgG8ntbD0DVZ2FBH2lD9EXp6ZP10Rlcvc1wEEEi1GnvAMRmkPwC/GxDSVXYVxdDxXG3V8hOGe/YevFY+OWAb8Gdm8ouQpjzwSGAn9h65lK63xE0MVrlJKrylTM81zszxTdwRKRshIOfh9H0IWoPfABMAt4OYdFjKUJ0TVRucxsJDCEYE2jWoIv0hPDL075xtT1UGHCJT52A4YBOwBtCabLXg5MBWbkO326mbUmuB76ANsTLGA9F3jO3TcX2nYpD8U8z8X4TFGCJSIiIiIikhB1ERQREREREUmIEiwREREREZGEKMESERERERFJiBIsERERERGRhCjBEhERERERSYgSLBERERERkYQowRIREREREUmIEiwREREREZGEKMESERERERFJiBIsERGpGGbWysy+bGY3mdlbZrbMzDaamcce4xq7rVI5Ulw/NzZ2m0SkcjVr7AaIiIhkw8y+CPwJ6NzYbREREUlHd7BERIrMzC6L/Tp+XYa6zcxsVax+j1K2txyZ2XeBO1ByJSIiZU53sEREiu/A2Pa/M9QdDXSIbM9y98XJN6lymNlQ4LcZqqwFNsfK4tsiIiIloQRLRKSIzKwNQdJUx4H/ZtjloNj2M4k3qvJ8n63/vZoMXAy84O7rSt8kERGR1JRgiYgU175Ai8j2NHdfnqH+wbHt/yTfpMphZgYcFyteDhzs7qtK3yIREZHMlGCJiBTXZ2Pbae9IhXe7xkaKGrrbtS3YFegYK7tPyZUkyd2tsdsgIk2HJrkQESmu+PirTF3+9qf+3a4p7v5x8k2qKDulKJtR8laIiIhkSQmWiEiRmFkHYK9I0Sbg2Qy7qHvg1rZLUba61I0QERHJlhIsEZHi2R+ojmy/6u5rM9TXBBdba5WizEveChERkSxpDJaISPFk3T3QzDoDe0aKNgHPF6NRSTGznsAwoAvQFaghmIDiA2DSttK90cwGAHsAPQjGi60G3gMmu/uSxmxbqZlZK2AUsCPBddERWEFwXcwG3nT3oifI4eQou4WPHkBbYAOw1N1vKfbxI+1oD4wEuhO8H22Bjwjej+nuPrsIx+xBcD32JljyoQ3wKbCO4G9zHjBH4xhFisdK8DknIrJNMrM3CBKQOvu7e8qkycxOAu6MFL3k7vsUsXl5MbNOwPcIZvYbmqFqLTAJuBu41t3XZxl/HtCnkDaWYsICM6sGvg6MB4anawrwCnCVu98b2fdG4Ix6FbNoc4r35ll3H5dLuyOxJgAHRIrmu3vfPGM1A74MnERw17Z1hupLgUeBK9x9Th7HupHYewf0c/d54evdgPPCOt1TxUj1XptZ/MvQTe5+Zq7tC2O1Bs4Bjgf2BppnqD4PeAD4TSHJuJn1IrgeTwX6ZbGLA7OAF8LjP+3uG/M9vojUpztYIiI5MrOdgGlZVI3PfvdIii9ydVrGtkeZ2coMsX/t7r/Oog2JCO8IfJ9g7antstilChgTPs4zswvd/dbitbB0zGwP4J/AiIaqEnzBvsfMHgdOdfeVRW5eSZnZicDlwIAsd+lOkJSeYWbXA+e7+6cJteVU4Fq2/rsrifBv5BzgEoI7eNnoS/CDxTlm9lvgUnevzfG4PwAuJbhTlfVuwODwcXa4/2W5HFdE0lOCJSKSuyry+xLXIYe6zRs4RqqxSUVhZi2BmwnuUOSjJ3CLmQ0FLixFF7FiMbNRwNPkfv4PB54zs/2Sb1XpmVkVcBVBcpCPZsA3gOFmdqy7LyuwPecBvyskRoHHbwXcRP5/I62BnwDDzOyUBsZqRo/7V4KkrlCapl4kQUqwREQkrfCL9IPAYWmqvA1MABYR/JvSM6ybanr1HxIkmd/IcMhPgOjYkBZs3eVsPVDy7kxmtivwFKmTq/XAkwTdrj4mGJO2B8E6aHX/1g4F/kUw/qZihdfEvWy9ADQEXUPfBF4l6A64huCO50CC92KHWP2xwL/NbEy23UhTOJwg2Yt6j2AWzkUE56YHwft/AAkL1697hvpr2NXZBLwOTCY47+uATsDuYVvax+ofDdxnZoc3dCfLzL5M6uTKganAG8D7BOegGcHfXvfw2LuR2x0vEcmBEiwREcnkIlInV1OAb7j7K/EXwq5SRxB014onWl83s/+6+12pDubue8RinUnQHS/qm+5+YzaNT0o45upGtu4eWQNcDVzm7ltNHx+OCboK+FJYdATwYbHaWSKXsnVyVUtwvn/n7u+l2snMWgBnAb+m/vs4FLiGoKtaPq5kyx2YqcD33H1Cmjb0zfMYmfyVrZOrDcBvgD+7+wdp2tIO+DbB+xntInwo8H/AL9IdMPwbuzzFS3cCF6U7B5H9WwD7AccQjJ8TkQRpmnYRkRy5+zx3t3QPoDP1pxKvATpkqH9N7BC/yhQ/fFxa7P/PsEtfquM8CoxJlVwBeOBRggk+Uo1V+5uZdUmqnSVyLjA6VlYDnOzuF6RKrgDc/QN3P43g7l2dzkVqY9GZ2YEE4/CiVgIHuPt3Mn2xd/eN7v43glkG34+9PN7MUt0Bykbb8L+PAWPTJVdhG+bleYyUwh8ATo8Vvw+McPdL0iVXYVvWhOMo96P+XVuAS8ysd4ZD701wtzjqNnc/uaHkKjz2Rnd/xt2/G8ZpEuMjRcqFEiwRkeTtS/0xDVPTfQEPxWcLfCH5JuXlArbu6fAmcEI2M465+wqCX+M/ir20HcGMZxUhvHv1/RQv/djd78kmhrtfCfw90YY1jl9S/7vDZuBwd8/6mnX3d4Bjw32jflRAu94BvpDUhBnZMLPmwM9ixauAA919RrZx3H0ScFqsuDlwfobddktRluqOVjbHXxeeExFJiBIsEZHk7RvbTrueVdhNKLr+lQMvFaNRuQi7tp2c4qVz3H1DtnHCX/B/mOKlb4bdlCrBMWx9t2AmW4/7aciPCMZnVSQzO4Ctu8Jdne5OZibuPoWtu34eY2Ypp1bPwncKGMOVr1MJ1pqKutjd5+YayN0fIZg8JWp8OAV+KqnuACtJEikTSrBERJIXnyku06/7Y4DqyPb0MpnK+yiCCSaiXnD3l/OIdRMQX+OnO1vfuStXJ6Yo+7O7b8oliLt/RDAbY6WKj5GqJRh/lq/4gr9VBOto5epdgglGSi3+fqyisLuU8fejPemXAliToiyb9a9EpASUYImIJChcZDT+pSjtHSzKt3tgquQnr+TA3WtIPcajUhKsvWPbDtyRZ6zbCmxLYxoX237V3RcVEO8VgiQtKp9p7B8u9dT/4d95fEzeYwV2UXwxRVm692NmirIrMtzxEpESUoIlIpKssQTjJ+q8k2mgO1snGam+ZDWGeFIBhbUtVZKZ6hhlxcy6EiwGGzXH3fOdCXAKULJxQkkxs/5Ar1jxlEJihncA4+Pz+ucRanIh7cjT3mx9h3dKgTGXpihL9348D6yIlR0LTDKzk8K160SkkSjBEhFJVi7jr6rYekxLudzBik+vvp7Uv5pn6/UUZX0KiFcqqbpdTc03mLtvBqbn35xGk2pShW+YmRfyYOuxRPF1srKR85inBKR6P64o8L1ItbhwyvcjHG+WalKLYQRTtX9kZg+Z2QVmtncFjXcUaRJ0K1lEJFm5jL8aSrD4Z51FSU8jnY/wy1h8EdIPG1r4tAGp7uJtX0C8UknVxkIXCl5W4P6NIZ/EJx+d8tgnPsV5KZTD+3EVwWdIqnWs2hIsWnx0uL3BzCYSLAr+BPByqbtVimxLdAdLRCQh4XTeudyRKtfugamSioK+xIZ3buK/0OfzZbrUtktR9kmBMRsjIShUqc5VPnda1iXeioY1+vsRrjd3BvANGk76WxL8+PMTgs+ZeWb2f2bWPrGWisj/6A6WiEiWwm48uZplZg3XCpxkZidleP0mdz8zjzaIFCrVmJ4NJD+erNDktVRSvR/rgQbXh8tRqtkC63H3v5rZLQTTxp9K8MNN88x7sRPBmmbnmdl4d3+o4JaKyP8owRIRkbj44Hmo35UxZ+HsZm1jxZWwJtTKFGUFvRdAxwL3bwypztUf3T3VGmfbglTvxwXufm3JWwK4+1rgeuB6M2tDMAnHvsBnwufp7lR1Bh40sy+7e3yaeBHJkxIsERGpx903mtk66o/D6mJmVQWMw+qWoixVIlduUrUx1SKvueia535JjpnJNUlMNWtiqcYhlaOyfT/cfR3wTPio67o8HDic4A7X4BS7XWdmE9x9QckaKtKEaQyWiEj2VjXwyKX+hljdDVnEL+VYk/dj262BQQXES7Vg6vwC4pXKeynK9sw3WHgnL9UMdNlYH9uOT0SSi8451k91rgYUcPxKVzHvh7vXuPtkd/+5u+9KMJ17PEFsBZxb+taJNE1KsEREsuTu26V7EHTFiVrcQP34mIfzMtUPH98sxf9n6KUUZYUsDByfvj7dMcqKuy8D5sWKdzGzXBOUOsMIvszmI57E5zXRQri2V+8cd3uDrbtLjjGzfP9fKt0Etr6jOK70zchdON7qCyleOrTUbRFpqpRgiYgk46DY9n/SVbRg1otxseJnkm5QgVLNaHh6PoHCLkqnZXmMcvRybNuAk/OM9aUC2hG/69DXzFrnESfnL9LuXsPW13RLUn9Rb/LChabfiBXvZGapfkgoO+7+LPBurLgS1qUTqQhKsEREkhFPsDIlTHtQfxzPQnefnXyTCvIoW3dj3M/MRucR6zSgR6xsKRVwByt0d4qyb5lZQzO11WNmnUi9ZlG2psW2q4ED8ojzvTyPf2uKsh/n+j40Ianej8tK3or8xddj02LEIglRgiUiUqDwDs24WHGmBCuXZKxRuPsHwB2xYgP+Fi5EnBUz6wJcmeKla9096Smti+VhYHGsbDDw/Rzj/IbC1k+alKLsq7kEMLNzgb3yPP4DbH3XZhDwlzzjVbq/AktiZQea2U8aozG5CJPiXWLF8WtcRPKkBEtEpHAjqT/19pwGZuMq+wQrdBWwOVY2DLgznKwhIzPbDniSrWfdW0Xw5bQihIsk/y7FS78wsxOyiWFmPwDGF9iUp4HVsbLPm9nRWbbhRFInu1lxdwcuZOuxR+PN7IY8uytiZh3M7Ptmdlu+bWsM7r4euCTFS5eZ2S/CH15yZmZdzewyM0t1zdXV+YuZXRKOp8vHBWw962GldNkVKXtKsERECpfL+KtmwP6x4rJMsNz9TeDSFC8dB7xiZqPS7WtmRxDc7Rie4uWvufvyJNpYQlcDk2Nl1QTJ5pVmlnKdITPrFi4C+5tI8Uf5NCBc6+hfKV66y8zGm1nKf9PNrLuZ/Rm4k6AbmJPnGmTu/hSpr4nxwFQzOzubiS/MrL2ZfcHM/gUsBH5LBY4BcvcbgH/Eig24GJhoZidl+WPEDmZ2hpk9QDCD5yVkns5/R4LuiO+b2YPhvg1OEx9eC9cCl6d4Of7/ISJ50jpYIiKFy+WO1GigXWT7bXcv5645vyJICOMTI+xF8AVyOsGMaosJEo5eYd2+aeL91d3vKkpLi8jda8zsTIJxY9E1pKoJ7gZ8y8yeBGYSrJ3VhWCs3YHU/7f2cYKxL2fk2ZTLgJOA7SNlrYAbgJ+EbXgfqCH4gj4KGBtrw68JZr3MZ/wW7v4zM9uZrceT7UKw2O01ZjYJmEqQTK4muOa3I7g+9iSY0tzyOX4Z+gZBchj/HBhBkNSuMbOXgRkEie06goV/tyP4O9mT/JPLlsAx4QMze4/gh433Ca7DtQTXRw+Cu89jCK7ZuH+GE1+ISAKUYImIFCD8tT46RbsD/82wS6V0DwTA3WvN7BjgFuDEFFV2I/t1na4EfpRU20rN3aeb2aHAU2y9UG9rgjt7mbxFsNDr1QW0YYmZnQPcztZflPsAX2sgxD8J7q5kukazaccZYXJ9eYp2tAL2Cx9NXrgw9+cI7lKel6JKO+CQ8FFs/cJHLh4Gvl2Etohss9RFUESkMPtQf12jqeEUzulUVIIF4O4bCKYl/xGpF1RuyCLgy+7+w3AcT8Vy91cJ7vxMyXHXp4D93X1lAm24myDZzWXh6U3AT9z9K0mdA3f/DcHdzecSCPcaFTQuL87dN7v7+cDR5H5tbBUOeBbINCZtLsFdykKsIUi2j3f3Ui5iLtLkKcESESlMLuOvWgN7R4pqCbrXlT13rw2/UPcHfgFMb2CXWmAiQfe5Xdz9liI3sWTcfQpB17tzCbrBZTIRONndD3P3FQm24X6CLnnXkTnp/ZRg3NYwd/9FUsePtOMldz+A4IeGG4H5We66lmAClB8CQ9x9pLunmva8orj7I+4+HDiSoHvgB1nuuhJ4kOCa6ufu49z98QzH+T5BN9RTCLplvknwN5eNNwkSq13c/fJwjTMRSZBV+I+JIiLSSMysF8EkFl3CRw2wnGCM0UR3z2syh0pjZrsQjLfqQdB1cA0wD5iUanydmd1IbAyWu+c9HimcRGEMQcLVmWAii5UE48FeKfXdCTPrDwwhmKVuB6ANwXuymmBCi1nA/Eq/m5ktM9uV4NzUvR8tCd6L1QRjpWa6+6IEjtM2PM7OQDeCcV7NCd77VQQLC09N4i6qiGSmBEtERKSEkk6wRESkvKiLoIiIiIiISEKUYImIiIiIiCRECZaIiIiIiEhClGCJiIiIiIgkRAmWiIiIiIhIQpRgiYiIiIiIJEQJloiIiIiISEKUYImIiIiIiCRECZaIiIiIiEhCzN0buw0iIiIiIiJNgu5giYiIiIiIJEQJloiIiIiISEKUYImIiIiIiCRECZaIiIiIiEhClGCJiIiIiIgk5P8BXIJughat54cAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = range(1, len(pg_run_time_train)+1)\n",
    "plt.figure(figsize=(12, 8))\n",
    "\n",
    "plt.plot(x, pg_run_time_train, label=\"PostgreSQL\", linewidth=8)\n",
    "plt.plot(x, lero_run_time_train, label=\"Lero\", linewidth=8)\n",
    "\n",
    "plt.ylabel(\"Time (s)\", fontsize=52)\n",
    "plt.xlim(1, 100)\n",
    "plt.xticks(size=36)\n",
    "plt.yticks(size=36)\n",
    "plt.xlabel(\"# of queries\", fontsize=52)\n",
    "plt.title(\"Training\", fontsize=52)\n",
    "\n",
    "plt.legend(fontsize=36)\n",
    "plt.grid()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"./train.jpg\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Performance on test set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "lero_run_time_test = []\n",
    "for i in range(0, 5):\n",
    "    lero_run_time_test.append(sum_runtime_file(\"lero_tpch.log_tpch_test_model_\" + str(i)))\n",
    "\n",
    "pg_run_time_test = [sum_runtime_file(\"pg_tpch_test.log\")] * 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = range(len(pg_run_time_test))\n",
    "plt.figure(figsize=(12, 8))\n",
    "\n",
    "plt.plot(x, pg_run_time_test, label=\"PostgreSQL\", linewidth=8)\n",
    "plt.plot(x, lero_run_time_test, label=\"Lero\", linewidth=8)\n",
    "\n",
    "plt.ylabel(\"Time (s)\", fontsize=52)\n",
    "plt.xlabel(\"Model id\", fontsize=52)\n",
    "plt.title(\"Test\", fontsize=52)\n",
    "plt.xticks([0, 1, 2, 3, 4], [0, 1, 2, 3, 4], size=36)\n",
    "plt.yticks(size=36)\n",
    "plt.legend(fontsize=36)\n",
    "plt.grid()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"./test.jpg\")"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "0adcc2737ebf6a4a119f135174df96668767fca1ef1112612db5ecadf2b6d608"
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
